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Finding the Fourth Proportional to 463,143.59, 639,124.40 and 256,421.17

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Solution

The fourth proportional to 463,143.59, 639,124.40 and 256,421.17 is: 353,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,143.59 : 639,124.40 = 256,421.17 : x
  2. Step 2: Convert to fraction form
    463,143.59/639,124.40 = 256,421.17/x
  3. Step 3: Cross multiply
    463,143.59x = 639,124.40 × 256,421.17
  4. Step 4: Simplify right side
    463,143.59x = 163,885,028,459.07
  5. Step 5: Solve for x
    x = 163,885,028,459.07/463,143.59
  6. Step 6: Final answer
    x = 353,853.60

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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.