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Finding the Fourth Proportional to 417,356.34, 575,948.91 and 226,369.92

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Solution

The fourth proportional to 417,356.34, 575,948.91 and 226,369.92 is: 312,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,356.34 : 575,948.91 = 226,369.92 : x
  2. Step 2: Convert to fraction form
    417,356.34/575,948.91 = 226,369.92/x
  3. Step 3: Cross multiply
    417,356.34x = 575,948.91 × 226,369.92
  4. Step 4: Simplify right side
    417,356.34x = 130,377,508,680.79
  5. Step 5: Solve for x
    x = 130,377,508,680.79/417,356.34
  6. Step 6: Final answer
    x = 312,388.95

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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.