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Finding the Fourth Proportional to 334,065.30, 500,981.22 and 156,655.86

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Solution

The fourth proportional to 334,065.30, 500,981.22 and 156,655.86 is: 234,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,065.30 : 500,981.22 = 156,655.86 : x
  2. Step 2: Convert to fraction form
    334,065.30/500,981.22 = 156,655.86/x
  3. Step 3: Cross multiply
    334,065.30x = 500,981.22 × 156,655.86
  4. Step 4: Simplify right side
    334,065.30x = 78,481,643,862.95
  5. Step 5: Solve for x
    x = 78,481,643,862.95/334,065.30
  6. Step 6: Final answer
    x = 234,929.05

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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.