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Finding the Fourth Proportional to 417,461.10, 576,096.53 and 226,474.47

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Solution

The fourth proportional to 417,461.10, 576,096.53 and 226,474.47 is: 312,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,461.10 : 576,096.53 = 226,474.47 : x
  2. Step 2: Convert to fraction form
    417,461.10/576,096.53 = 226,474.47/x
  3. Step 3: Cross multiply
    417,461.10x = 576,096.53 × 226,474.47
  4. Step 4: Simplify right side
    417,461.10x = 130,471,156,300.59
  5. Step 5: Solve for x
    x = 130,471,156,300.59/417,461.10
  6. Step 6: Final answer
    x = 312,534.88

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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.