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Finding the Fourth Proportional to 417,614.11, 576,307.84 and 226,627.50

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Solution

The fourth proportional to 417,614.11, 576,307.84 and 226,627.50 is: 312,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,614.11 : 576,307.84 = 226,627.50 : x
  2. Step 2: Convert to fraction form
    417,614.11/576,307.84 = 226,627.50/x
  3. Step 3: Cross multiply
    417,614.11x = 576,307.84 × 226,627.50
  4. Step 4: Simplify right side
    417,614.11x = 130,607,205,009.60
  5. Step 5: Solve for x
    x = 130,607,205,009.60/417,614.11
  6. Step 6: Final answer
    x = 312,746.15

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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.