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Finding the Fourth Proportional to 414,116.64, 571,462.56 and 253,241.28

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Solution

The fourth proportional to 414,116.64, 571,462.56 and 253,241.28 is: 349,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,116.64 : 571,462.56 = 253,241.28 : x
  2. Step 2: Convert to fraction form
    414,116.64/571,462.56 = 253,241.28/x
  3. Step 3: Cross multiply
    414,116.64x = 571,462.56 × 253,241.28
  4. Step 4: Simplify right side
    414,116.64x = 144,717,910,166.48
  5. Step 5: Solve for x
    x = 144,717,910,166.48/414,116.64
  6. Step 6: Final answer
    x = 349,461.71

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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.