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Finding the Fourth Proportional to 438,432.60, 657,648.90 and 413,938.20

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Solution

The fourth proportional to 438,432.60, 657,648.90 and 413,938.20 is: 620,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,432.60 : 657,648.90 = 413,938.20 : x
  2. Step 2: Convert to fraction form
    438,432.60/657,648.90 = 413,938.20/x
  3. Step 3: Cross multiply
    438,432.60x = 657,648.90 × 413,938.20
  4. Step 4: Simplify right side
    438,432.60x = 272,226,001,897.98
  5. Step 5: Solve for x
    x = 272,226,001,897.98/438,432.60
  6. Step 6: Final answer
    x = 620,907.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.