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Finding the Fourth Proportional to 287,562.96, 431,396.40 and 98,012.88

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Solution

The fourth proportional to 287,562.96, 431,396.40 and 98,012.88 is: 147,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,562.96 : 431,396.40 = 98,012.88 : x
  2. Step 2: Convert to fraction form
    287,562.96/431,396.40 = 98,012.88/x
  3. Step 3: Cross multiply
    287,562.96x = 431,396.40 × 98,012.88
  4. Step 4: Simplify right side
    287,562.96x = 42,282,403,585.63
  5. Step 5: Solve for x
    x = 42,282,403,585.63/287,562.96
  6. Step 6: Final answer
    x = 147,037.03

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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.