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Finding the Fourth Proportional to 489,123.10, 732,809.85 and 419,139.10

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Solution

The fourth proportional to 489,123.10, 732,809.85 and 419,139.10 is: 627,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,123.10 : 732,809.85 = 419,139.10 : x
  2. Step 2: Convert to fraction form
    489,123.10/732,809.85 = 419,139.10/x
  3. Step 3: Cross multiply
    489,123.10x = 732,809.85 × 419,139.10
  4. Step 4: Simplify right side
    489,123.10x = 307,149,261,000.14
  5. Step 5: Solve for x
    x = 307,149,261,000.14/489,123.10
  6. Step 6: Final answer
    x = 627,959.02

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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.