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Finding the Fourth Proportional to 469,052.78, 703,710.48 and 153,731.12

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Solution

The fourth proportional to 469,052.78, 703,710.48 and 153,731.12 is: 230,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,052.78 : 703,710.48 = 153,731.12 : x
  2. Step 2: Convert to fraction form
    469,052.78/703,710.48 = 153,731.12/x
  3. Step 3: Cross multiply
    469,052.78x = 703,710.48 × 153,731.12
  4. Step 4: Simplify right side
    469,052.78x = 108,182,200,246.14
  5. Step 5: Solve for x
    x = 108,182,200,246.14/469,052.78
  6. Step 6: Final answer
    x = 230,639.72

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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.