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Finding the Fourth Proportional to 417,448.16, 576,079.56 and 226,461.56

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Solution

The fourth proportional to 417,448.16, 576,079.56 and 226,461.56 is: 312,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,448.16 : 576,079.56 = 226,461.56 : x
  2. Step 2: Convert to fraction form
    417,448.16/576,079.56 = 226,461.56/x
  3. Step 3: Cross multiply
    417,448.16x = 576,079.56 × 226,461.56
  4. Step 4: Simplify right side
    417,448.16x = 130,459,872,961.32
  5. Step 5: Solve for x
    x = 130,459,872,961.32/417,448.16
  6. Step 6: Final answer
    x = 312,517.54

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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.