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Finding the Fourth Proportional to 562,296.60, 843,639.30 and 542,856.60

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Solution

The fourth proportional to 562,296.60, 843,639.30 and 542,856.60 is: 814,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,296.60 : 843,639.30 = 542,856.60 : x
  2. Step 2: Convert to fraction form
    562,296.60/843,639.30 = 542,856.60/x
  3. Step 3: Cross multiply
    562,296.60x = 843,639.30 × 542,856.60
  4. Step 4: Simplify right side
    562,296.60x = 457,975,162,024.38
  5. Step 5: Solve for x
    x = 457,975,162,024.38/562,296.60
  6. Step 6: Final answer
    x = 814,472.58

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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.