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Finding the Fourth Proportional to 417,693.30, 576,401.32 and 226,702.59

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Solution

The fourth proportional to 417,693.30, 576,401.32 and 226,702.59 is: 312,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,693.30 : 576,401.32 = 226,702.59 : x
  2. Step 2: Convert to fraction form
    417,693.30/576,401.32 = 226,702.59/x
  3. Step 3: Cross multiply
    417,693.30x = 576,401.32 × 226,702.59
  4. Step 4: Simplify right side
    417,693.30x = 130,671,672,123.42
  5. Step 5: Solve for x
    x = 130,671,672,123.42/417,693.30
  6. Step 6: Final answer
    x = 312,841.20

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1.5x scale

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.