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Finding the Fourth Proportional to 590,711.31, 814,938.90 and 438,124.93

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Solution

The fourth proportional to 590,711.31, 814,938.90 and 438,124.93 is: 604,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,711.31 : 814,938.90 = 438,124.93 : x
  2. Step 2: Convert to fraction form
    590,711.31/814,938.90 = 438,124.93/x
  3. Step 3: Cross multiply
    590,711.31x = 814,938.90 × 438,124.93
  4. Step 4: Simplify right side
    590,711.31x = 357,045,048,516.78
  5. Step 5: Solve for x
    x = 357,045,048,516.78/590,711.31
  6. Step 6: Final answer
    x = 604,432.39

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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.