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Finding the Fourth Proportional to 478,323.71, 717,573.83 and 197,862.83

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Solution

The fourth proportional to 478,323.71, 717,573.83 and 197,862.83 is: 296,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,323.71 : 717,573.83 = 197,862.83 : x
  2. Step 2: Convert to fraction form
    478,323.71/717,573.83 = 197,862.83/x
  3. Step 3: Cross multiply
    478,323.71x = 717,573.83 × 197,862.83
  4. Step 4: Simplify right side
    478,323.71x = 141,981,188,737.74
  5. Step 5: Solve for x
    x = 141,981,188,737.74/478,323.71
  6. Step 6: Final answer
    x = 296,830.76

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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.