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Finding the Fourth Proportional to 417,587.59, 576,272.34 and 226,600.96

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Solution

The fourth proportional to 417,587.59, 576,272.34 and 226,600.96 is: 312,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,587.59 : 576,272.34 = 226,600.96 : x
  2. Step 2: Convert to fraction form
    417,587.59/576,272.34 = 226,600.96/x
  3. Step 3: Cross multiply
    417,587.59x = 576,272.34 × 226,600.96
  4. Step 4: Simplify right side
    417,587.59x = 130,583,865,465.45
  5. Step 5: Solve for x
    x = 130,583,865,465.45/417,587.59
  6. Step 6: Final answer
    x = 312,710.12

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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.