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Finding the Fourth Proportional to 402,470.56, 602,916.96 and 233,636.80

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Solution

The fourth proportional to 402,470.56, 602,916.96 and 233,636.80 is: 349,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,470.56 : 602,916.96 = 233,636.80 : x
  2. Step 2: Convert to fraction form
    402,470.56/602,916.96 = 233,636.80/x
  3. Step 3: Cross multiply
    402,470.56x = 602,916.96 × 233,636.80
  4. Step 4: Simplify right side
    402,470.56x = 140,863,589,200.13
  5. Step 5: Solve for x
    x = 140,863,589,200.13/402,470.56
  6. Step 6: Final answer
    x = 349,997.25

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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.