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Finding the Fourth Proportional to 417,490.89, 576,132.26 and 226,502.88

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Solution

The fourth proportional to 417,490.89, 576,132.26 and 226,502.88 is: 312,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,490.89 : 576,132.26 = 226,502.88 : x
  2. Step 2: Convert to fraction form
    417,490.89/576,132.26 = 226,502.88/x
  3. Step 3: Cross multiply
    417,490.89x = 576,132.26 × 226,502.88
  4. Step 4: Simplify right side
    417,490.89x = 130,495,615,018.39
  5. Step 5: Solve for x
    x = 130,495,615,018.39/417,490.89
  6. Step 6: Final answer
    x = 312,571.17

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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.