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Finding the Fourth Proportional to 452,382.93, 678,316.01 and 185,924.25

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Solution

The fourth proportional to 452,382.93, 678,316.01 and 185,924.25 is: 278,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,382.93 : 678,316.01 = 185,924.25 : x
  2. Step 2: Convert to fraction form
    452,382.93/678,316.01 = 185,924.25/x
  3. Step 3: Cross multiply
    452,382.93x = 678,316.01 × 185,924.25
  4. Step 4: Simplify right side
    452,382.93x = 126,115,394,492.62
  5. Step 5: Solve for x
    x = 126,115,394,492.62/452,382.93
  6. Step 6: Final answer
    x = 278,780.18

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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.