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Finding the Fourth Proportional to 417,839.29, 576,625.16 and 226,852.63

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Solution

The fourth proportional to 417,839.29, 576,625.16 and 226,852.63 is: 313,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,839.29 : 576,625.16 = 226,852.63 : x
  2. Step 2: Convert to fraction form
    417,839.29/576,625.16 = 226,852.63/x
  3. Step 3: Cross multiply
    417,839.29x = 576,625.16 × 226,852.63
  4. Step 4: Simplify right side
    417,839.29x = 130,808,934,070.17
  5. Step 5: Solve for x
    x = 130,808,934,070.17/417,839.29
  6. Step 6: Final answer
    x = 313,060.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.