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Finding the Fourth Proportional to 614,844.10, 922,266.15 and 361,864.90

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Solution

The fourth proportional to 614,844.10, 922,266.15 and 361,864.90 is: 542,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,844.10 : 922,266.15 = 361,864.90 : x
  2. Step 2: Convert to fraction form
    614,844.10/922,266.15 = 361,864.90/x
  3. Step 3: Cross multiply
    614,844.10x = 922,266.15 × 361,864.90
  4. Step 4: Simplify right side
    614,844.10x = 333,735,748,143.14
  5. Step 5: Solve for x
    x = 333,735,748,143.14/614,844.10
  6. Step 6: Final answer
    x = 542,797.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.