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Finding the Fourth Proportional to 360,512.25, 497,498.67 and 199,368.69

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Solution

The fourth proportional to 360,512.25, 497,498.67 and 199,368.69 is: 275,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,512.25 : 497,498.67 = 199,368.69 : x
  2. Step 2: Convert to fraction form
    360,512.25/497,498.67 = 199,368.69/x
  3. Step 3: Cross multiply
    360,512.25x = 497,498.67 × 199,368.69
  4. Step 4: Simplify right side
    360,512.25x = 99,185,658,114.64
  5. Step 5: Solve for x
    x = 99,185,658,114.64/360,512.25
  6. Step 6: Final answer
    x = 275,124.24

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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.