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Finding the Fourth Proportional to 477,813.47, 715,976.55 and 178,213.91

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Solution

The fourth proportional to 477,813.47, 715,976.55 and 178,213.91 is: 267,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,813.47 : 715,976.55 = 178,213.91 : x
  2. Step 2: Convert to fraction form
    477,813.47/715,976.55 = 178,213.91/x
  3. Step 3: Cross multiply
    477,813.47x = 715,976.55 × 178,213.91
  4. Step 4: Simplify right side
    477,813.47x = 127,596,976,863.93
  5. Step 5: Solve for x
    x = 127,596,976,863.93/477,813.47
  6. Step 6: Final answer
    x = 267,043.49

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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.