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Finding the Fourth Proportional to 466,098.77, 698,510.28 and 352,152.90

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Solution

The fourth proportional to 466,098.77, 698,510.28 and 352,152.90 is: 527,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,098.77 : 698,510.28 = 352,152.90 : x
  2. Step 2: Convert to fraction form
    466,098.77/698,510.28 = 352,152.90/x
  3. Step 3: Cross multiply
    466,098.77x = 698,510.28 × 352,152.90
  4. Step 4: Simplify right side
    466,098.77x = 245,982,422,102.39
  5. Step 5: Solve for x
    x = 245,982,422,102.39/466,098.77
  6. Step 6: Final answer
    x = 527,747.41

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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.