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Finding the Fourth Proportional to 498,030.12, 687,280.14 and 271,674

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Solution

The fourth proportional to 498,030.12, 687,280.14 and 271,674 is: 374,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,030.12 : 687,280.14 = 271,674 : x
  2. Step 2: Convert to fraction form
    498,030.12/687,280.14 = 271,674/x
  3. Step 3: Cross multiply
    498,030.12x = 687,280.14 × 271,674
  4. Step 4: Simplify right side
    498,030.12x = 186,716,144,754.36
  5. Step 5: Solve for x
    x = 186,716,144,754.36/498,030.12
  6. Step 6: Final answer
    x = 374,909.34

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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.