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Finding the Fourth Proportional to 463,947.16, 695,750.05 and 160,264.04

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Solution

The fourth proportional to 463,947.16, 695,750.05 and 160,264.04 is: 240,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,947.16 : 695,750.05 = 160,264.04 : x
  2. Step 2: Convert to fraction form
    463,947.16/695,750.05 = 160,264.04/x
  3. Step 3: Cross multiply
    463,947.16x = 695,750.05 × 160,264.04
  4. Step 4: Simplify right side
    463,947.16x = 111,503,713,843.20
  5. Step 5: Solve for x
    x = 111,503,713,843.20/463,947.16
  6. Step 6: Final answer
    x = 240,337.10

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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.