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Finding the Fourth Proportional to 402,402.52, 603,730.14 and 165,856.60

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Solution

The fourth proportional to 402,402.52, 603,730.14 and 165,856.60 is: 248,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,402.52 : 603,730.14 = 165,856.60 : x
  2. Step 2: Convert to fraction form
    402,402.52/603,730.14 = 165,856.60/x
  3. Step 3: Cross multiply
    402,402.52x = 603,730.14 × 165,856.60
  4. Step 4: Simplify right side
    402,402.52x = 100,132,628,337.92
  5. Step 5: Solve for x
    x = 100,132,628,337.92/402,402.52
  6. Step 6: Final answer
    x = 248,836.98

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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.