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Finding the Fourth Proportional to 417,480.42, 576,422.55 and 256,551.24

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Solution

The fourth proportional to 417,480.42, 576,422.55 and 256,551.24 is: 354,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,480.42 : 576,422.55 = 256,551.24 : x
  2. Step 2: Convert to fraction form
    417,480.42/576,422.55 = 256,551.24/x
  3. Step 3: Cross multiply
    417,480.42x = 576,422.55 × 256,551.24
  4. Step 4: Simplify right side
    417,480.42x = 147,881,919,966.46
  5. Step 5: Solve for x
    x = 147,881,919,966.46/417,480.42
  6. Step 6: Final answer
    x = 354,224.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.