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Finding the Fourth Proportional to 417,762.34, 576,512.76 and 226,775.86

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Solution

The fourth proportional to 417,762.34, 576,512.76 and 226,775.86 is: 312,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,762.34 : 576,512.76 = 226,775.86 : x
  2. Step 2: Convert to fraction form
    417,762.34/576,512.76 = 226,775.86/x
  3. Step 3: Cross multiply
    417,762.34x = 576,512.76 × 226,775.86
  4. Step 4: Simplify right side
    417,762.34x = 130,739,176,949.97
  5. Step 5: Solve for x
    x = 130,739,176,949.97/417,762.34
  6. Step 6: Final answer
    x = 312,951.08

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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.