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Finding the Fourth Proportional to 417,614.28, 576,308.07 and 226,627.65

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Solution

The fourth proportional to 417,614.28, 576,308.07 and 226,627.65 is: 312,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,614.28 : 576,308.07 = 226,627.65 : x
  2. Step 2: Convert to fraction form
    417,614.28/576,308.07 = 226,627.65/x
  3. Step 3: Cross multiply
    417,614.28x = 576,308.07 × 226,627.65
  4. Step 4: Simplify right side
    417,614.28x = 130,607,343,580.14
  5. Step 5: Solve for x
    x = 130,607,343,580.14/417,614.28
  6. Step 6: Final answer
    x = 312,746.35

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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.