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Finding the Fourth Proportional to 417,590.43, 576,276.35 and 226,603.86

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Solution

The fourth proportional to 417,590.43, 576,276.35 and 226,603.86 is: 312,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,590.43 : 576,276.35 = 226,603.86 : x
  2. Step 2: Convert to fraction form
    417,590.43/576,276.35 = 226,603.86/x
  3. Step 3: Cross multiply
    417,590.43x = 576,276.35 × 226,603.86
  4. Step 4: Simplify right side
    417,590.43x = 130,586,445,336.71
  5. Step 5: Solve for x
    x = 130,586,445,336.71/417,590.43
  6. Step 6: Final answer
    x = 312,714.17

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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.