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Finding the Fourth Proportional to 376,539.10, 564,808.65 and 127,221.10

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Solution

The fourth proportional to 376,539.10, 564,808.65 and 127,221.10 is: 190,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,539.10 : 564,808.65 = 127,221.10 : x
  2. Step 2: Convert to fraction form
    376,539.10/564,808.65 = 127,221.10/x
  3. Step 3: Cross multiply
    376,539.10x = 564,808.65 × 127,221.10
  4. Step 4: Simplify right side
    376,539.10x = 71,855,577,742.52
  5. Step 5: Solve for x
    x = 71,855,577,742.52/376,539.10
  6. Step 6: Final answer
    x = 190,831.65

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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.