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Finding the Fourth Proportional to 438,700.80, 658,051.20 and 189,382.80

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Solution

The fourth proportional to 438,700.80, 658,051.20 and 189,382.80 is: 284,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,700.80 : 658,051.20 = 189,382.80 : x
  2. Step 2: Convert to fraction form
    438,700.80/658,051.20 = 189,382.80/x
  3. Step 3: Cross multiply
    438,700.80x = 658,051.20 × 189,382.80
  4. Step 4: Simplify right side
    438,700.80x = 124,623,578,799.36
  5. Step 5: Solve for x
    x = 124,623,578,799.36/438,700.80
  6. Step 6: Final answer
    x = 284,074.20

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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.