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Finding the Fourth Proportional to 417,699.40, 576,425.64 and 226,712.80

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Solution

The fourth proportional to 417,699.40, 576,425.64 and 226,712.80 is: 312,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,699.40 : 576,425.64 = 226,712.80 : x
  2. Step 2: Convert to fraction form
    417,699.40/576,425.64 = 226,712.80/x
  3. Step 3: Cross multiply
    417,699.40x = 576,425.64 × 226,712.80
  4. Step 4: Simplify right side
    417,699.40x = 130,683,070,836.19
  5. Step 5: Solve for x
    x = 130,683,070,836.19/417,699.40
  6. Step 6: Final answer
    x = 312,863.92

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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.