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Finding the Fourth Proportional to 442,181.79, 663,412.86 and 157,866.24

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Solution

The fourth proportional to 442,181.79, 663,412.86 and 157,866.24 is: 236,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,181.79 : 663,412.86 = 157,866.24 : x
  2. Step 2: Convert to fraction form
    442,181.79/663,412.86 = 157,866.24/x
  3. Step 3: Cross multiply
    442,181.79x = 663,412.86 × 157,866.24
  4. Step 4: Simplify right side
    442,181.79x = 104,730,493,775.85
  5. Step 5: Solve for x
    x = 104,730,493,775.85/442,181.79
  6. Step 6: Final answer
    x = 236,849.40

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1.5x scale

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.