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Finding the Fourth Proportional to 506,432.87, 698,970.85 and 325,371.14

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Solution

The fourth proportional to 506,432.87, 698,970.85 and 325,371.14 is: 449,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,432.87 : 698,970.85 = 325,371.14 : x
  2. Step 2: Convert to fraction form
    506,432.87/698,970.85 = 325,371.14/x
  3. Step 3: Cross multiply
    506,432.87x = 698,970.85 × 325,371.14
  4. Step 4: Simplify right side
    506,432.87x = 227,424,942,434.34
  5. Step 5: Solve for x
    x = 227,424,942,434.34/506,432.87
  6. Step 6: Final answer
    x = 449,072.24

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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.