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Finding the Fourth Proportional to 378,658.48, 522,545.16 and 208,888.96

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Solution

The fourth proportional to 378,658.48, 522,545.16 and 208,888.96 is: 288,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,658.48 : 522,545.16 = 208,888.96 : x
  2. Step 2: Convert to fraction form
    378,658.48/522,545.16 = 208,888.96/x
  3. Step 3: Cross multiply
    378,658.48x = 522,545.16 × 208,888.96
  4. Step 4: Simplify right side
    378,658.48x = 109,153,915,025.43
  5. Step 5: Solve for x
    x = 109,153,915,025.43/378,658.48
  6. Step 6: Final answer
    x = 288,264.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.