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Finding the Fourth Proportional to 417,702.54, 576,428.04 and 226,715.93

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Solution

The fourth proportional to 417,702.54, 576,428.04 and 226,715.93 is: 312,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,702.54 : 576,428.04 = 226,715.93 : x
  2. Step 2: Convert to fraction form
    417,702.54/576,428.04 = 226,715.93/x
  3. Step 3: Cross multiply
    417,702.54x = 576,428.04 × 226,715.93
  4. Step 4: Simplify right side
    417,702.54x = 130,685,419,166.68
  5. Step 5: Solve for x
    x = 130,685,419,166.68/417,702.54
  6. Step 6: Final answer
    x = 312,867.19

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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.