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Finding the Fourth Proportional to 285,402.70, 428,124.57 and 98,411.50

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Solution

The fourth proportional to 285,402.70, 428,124.57 and 98,411.50 is: 147,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,402.70 : 428,124.57 = 98,411.50 : x
  2. Step 2: Convert to fraction form
    285,402.70/428,124.57 = 98,411.50/x
  3. Step 3: Cross multiply
    285,402.70x = 428,124.57 × 98,411.50
  4. Step 4: Simplify right side
    285,402.70x = 42,132,381,120.56
  5. Step 5: Solve for x
    x = 42,132,381,120.56/285,402.70
  6. Step 6: Final answer
    x = 147,624.33

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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.