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Finding the Fourth Proportional to 463,248.80, 695,103.60 and 182,775.20

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Solution

The fourth proportional to 463,248.80, 695,103.60 and 182,775.20 is: 274,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,248.80 : 695,103.60 = 182,775.20 : x
  2. Step 2: Convert to fraction form
    463,248.80/695,103.60 = 182,775.20/x
  3. Step 3: Cross multiply
    463,248.80x = 695,103.60 × 182,775.20
  4. Step 4: Simplify right side
    463,248.80x = 127,047,699,510.72
  5. Step 5: Solve for x
    x = 127,047,699,510.72/463,248.80
  6. Step 6: Final answer
    x = 274,253.70

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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.