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Finding the Fourth Proportional to 417,567.68, 576,242.72 and 226,581.12

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Solution

The fourth proportional to 417,567.68, 576,242.72 and 226,581.12 is: 312,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,567.68 : 576,242.72 = 226,581.12 : x
  2. Step 2: Convert to fraction form
    417,567.68/576,242.72 = 226,581.12/x
  3. Step 3: Cross multiply
    417,567.68x = 576,242.72 × 226,581.12
  4. Step 4: Simplify right side
    417,567.68x = 130,565,720,889.45
  5. Step 5: Solve for x
    x = 130,565,720,889.45/417,567.68
  6. Step 6: Final answer
    x = 312,681.58

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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.