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Finding the Fourth Proportional to 417,712.78, 576,395.70 and 233,925.71

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Solution

The fourth proportional to 417,712.78, 576,395.70 and 233,925.71 is: 322,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.78 : 576,395.70 = 233,925.71 : x
  2. Step 2: Convert to fraction form
    417,712.78/576,395.70 = 233,925.71/x
  3. Step 3: Cross multiply
    417,712.78x = 576,395.70 × 233,925.71
  4. Step 4: Simplify right side
    417,712.78x = 134,833,769,604.25
  5. Step 5: Solve for x
    x = 134,833,769,604.25/417,712.78
  6. Step 6: Final answer
    x = 322,790.62

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1.5x scale

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.