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Finding the Fourth Proportional to 522,794.96, 782,929.28 and 297,472.72

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Solution

The fourth proportional to 522,794.96, 782,929.28 and 297,472.72 is: 445,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,794.96 : 782,929.28 = 297,472.72 : x
  2. Step 2: Convert to fraction form
    522,794.96/782,929.28 = 297,472.72/x
  3. Step 3: Cross multiply
    522,794.96x = 782,929.28 × 297,472.72
  4. Step 4: Simplify right side
    522,794.96x = 232,900,102,489.24
  5. Step 5: Solve for x
    x = 232,900,102,489.24/522,794.96
  6. Step 6: Final answer
    x = 445,490.34

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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.