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Finding the Fourth Proportional to 409,442.96, 614,164.44 and 159,950

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Solution

The fourth proportional to 409,442.96, 614,164.44 and 159,950 is: 239,925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,442.96 : 614,164.44 = 159,950 : x
  2. Step 2: Convert to fraction form
    409,442.96/614,164.44 = 159,950/x
  3. Step 3: Cross multiply
    409,442.96x = 614,164.44 × 159,950
  4. Step 4: Simplify right side
    409,442.96x = 98,235,602,178.00
  5. Step 5: Solve for x
    x = 98,235,602,178.00/409,442.96
  6. Step 6: Final answer
    x = 239,925.00

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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.