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Finding the Fourth Proportional to 304,641.60, 457,092.96 and 117,784.32

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Solution

The fourth proportional to 304,641.60, 457,092.96 and 117,784.32 is: 176,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,641.60 : 457,092.96 = 117,784.32 : x
  2. Step 2: Convert to fraction form
    304,641.60/457,092.96 = 117,784.32/x
  3. Step 3: Cross multiply
    304,641.60x = 457,092.96 × 117,784.32
  4. Step 4: Simplify right side
    304,641.60x = 53,838,383,470.39
  5. Step 5: Solve for x
    x = 53,838,383,470.39/304,641.60
  6. Step 6: Final answer
    x = 176,726.96

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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.