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Finding the Fourth Proportional to 378,187.60, 522,032.52 and 337,831.24

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Solution

The fourth proportional to 378,187.60, 522,032.52 and 337,831.24 is: 466,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,187.60 : 522,032.52 = 337,831.24 : x
  2. Step 2: Convert to fraction form
    378,187.60/522,032.52 = 337,831.24/x
  3. Step 3: Cross multiply
    378,187.60x = 522,032.52 × 337,831.24
  4. Step 4: Simplify right side
    378,187.60x = 176,358,893,551.93
  5. Step 5: Solve for x
    x = 176,358,893,551.93/378,187.60
  6. Step 6: Final answer
    x = 466,326.48

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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.