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Finding the Fourth Proportional to 417,886.53, 576,685.68 and 226,899.93

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Solution

The fourth proportional to 417,886.53, 576,685.68 and 226,899.93 is: 313,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,886.53 : 576,685.68 = 226,899.93 : x
  2. Step 2: Convert to fraction form
    417,886.53/576,685.68 = 226,899.93/x
  3. Step 3: Cross multiply
    417,886.53x = 576,685.68 × 226,899.93
  4. Step 4: Simplify right side
    417,886.53x = 130,849,940,424.00
  5. Step 5: Solve for x
    x = 130,849,940,424.00/417,886.53
  6. Step 6: Final answer
    x = 313,123.14

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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.