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Finding the Fourth Proportional to 467,101.16, 644,562.90 and 263,141

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Solution

The fourth proportional to 467,101.16, 644,562.90 and 263,141 is: 363,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,101.16 : 644,562.90 = 263,141 : x
  2. Step 2: Convert to fraction form
    467,101.16/644,562.90 = 263,141/x
  3. Step 3: Cross multiply
    467,101.16x = 644,562.90 × 263,141
  4. Step 4: Simplify right side
    467,101.16x = 169,610,926,068.90
  5. Step 5: Solve for x
    x = 169,610,926,068.90/467,101.16
  6. Step 6: Final answer
    x = 363,113.90

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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.