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Finding the Fourth Proportional to 466,077.31, 698,673.03 and 297,123.46

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Solution

The fourth proportional to 466,077.31, 698,673.03 and 297,123.46 is: 445,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,077.31 : 698,673.03 = 297,123.46 : x
  2. Step 2: Convert to fraction form
    466,077.31/698,673.03 = 297,123.46/x
  3. Step 3: Cross multiply
    466,077.31x = 698,673.03 × 297,123.46
  4. Step 4: Simplify right side
    466,077.31x = 207,592,148,082.28
  5. Step 5: Solve for x
    x = 207,592,148,082.28/466,077.31
  6. Step 6: Final answer
    x = 445,402.82

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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.