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Finding the Fourth Proportional to 471,825.95, 707,747.15 and 156,291.05

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Solution

The fourth proportional to 471,825.95, 707,747.15 and 156,291.05 is: 234,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,825.95 : 707,747.15 = 156,291.05 : x
  2. Step 2: Convert to fraction form
    471,825.95/707,747.15 = 156,291.05/x
  3. Step 3: Cross multiply
    471,825.95x = 707,747.15 × 156,291.05
  4. Step 4: Simplify right side
    471,825.95x = 110,614,547,368.10
  5. Step 5: Solve for x
    x = 110,614,547,368.10/471,825.95
  6. Step 6: Final answer
    x = 234,439.31

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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.