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Finding the Fourth Proportional to 463,146.30, 639,128.13 and 256,423.88

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Solution

The fourth proportional to 463,146.30, 639,128.13 and 256,423.88 is: 353,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,146.30 : 639,128.13 = 256,423.88 : x
  2. Step 2: Convert to fraction form
    463,146.30/639,128.13 = 256,423.88/x
  3. Step 3: Cross multiply
    463,146.30x = 639,128.13 × 256,423.88
  4. Step 4: Simplify right side
    463,146.30x = 163,887,712,674.07
  5. Step 5: Solve for x
    x = 163,887,712,674.07/463,146.30
  6. Step 6: Final answer
    x = 353,857.33

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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.