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Finding the Fourth Proportional to 452,732.96, 678,677.36 and 153,003.96

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Solution

The fourth proportional to 452,732.96, 678,677.36 and 153,003.96 is: 229,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,732.96 : 678,677.36 = 153,003.96 : x
  2. Step 2: Convert to fraction form
    452,732.96/678,677.36 = 153,003.96/x
  3. Step 3: Cross multiply
    452,732.96x = 678,677.36 × 153,003.96
  4. Step 4: Simplify right side
    452,732.96x = 103,840,323,642.35
  5. Step 5: Solve for x
    x = 103,840,323,642.35/452,732.96
  6. Step 6: Final answer
    x = 229,363.30

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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.