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Finding the Fourth Proportional to 360,415.04, 497,409 and 199,282.28

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Solution

The fourth proportional to 360,415.04, 497,409 and 199,282.28 is: 275,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,415.04 : 497,409 = 199,282.28 : x
  2. Step 2: Convert to fraction form
    360,415.04/497,409 = 199,282.28/x
  3. Step 3: Cross multiply
    360,415.04x = 497,409 × 199,282.28
  4. Step 4: Simplify right side
    360,415.04x = 99,124,799,612.52
  5. Step 5: Solve for x
    x = 99,124,799,612.52/360,415.04
  6. Step 6: Final answer
    x = 275,029.59

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.