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Finding the Fourth Proportional to 462,952.47, 638,869.70 and 256,221.27

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Solution

The fourth proportional to 462,952.47, 638,869.70 and 256,221.27 is: 353,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,952.47 : 638,869.70 = 256,221.27 : x
  2. Step 2: Convert to fraction form
    462,952.47/638,869.70 = 256,221.27/x
  3. Step 3: Cross multiply
    462,952.47x = 638,869.70 × 256,221.27
  4. Step 4: Simplify right side
    462,952.47x = 163,692,006,539.07
  5. Step 5: Solve for x
    x = 163,692,006,539.07/462,952.47
  6. Step 6: Final answer
    x = 353,582.75

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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.