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Finding the Fourth Proportional to 360,394.47, 497,354.75 and 199,259.92

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Solution

The fourth proportional to 360,394.47, 497,354.75 and 199,259.92 is: 274,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,394.47 : 497,354.75 = 199,259.92 : x
  2. Step 2: Convert to fraction form
    360,394.47/497,354.75 = 199,259.92/x
  3. Step 3: Cross multiply
    360,394.47x = 497,354.75 × 199,259.92
  4. Step 4: Simplify right side
    360,394.47x = 99,102,867,696.62
  5. Step 5: Solve for x
    x = 99,102,867,696.62/360,394.47
  6. Step 6: Final answer
    x = 274,984.43

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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.