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Finding the Fourth Proportional to 452,755.10, 678,710.41 and 153,027.16

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Solution

The fourth proportional to 452,755.10, 678,710.41 and 153,027.16 is: 229,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,755.10 : 678,710.41 = 153,027.16 : x
  2. Step 2: Convert to fraction form
    452,755.10/678,710.41 = 153,027.16/x
  3. Step 3: Cross multiply
    452,755.10x = 678,710.41 × 153,027.16
  4. Step 4: Simplify right side
    452,755.10x = 103,861,124,425.39
  5. Step 5: Solve for x
    x = 103,861,124,425.39/452,755.10
  6. Step 6: Final answer
    x = 229,398.02

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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.