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Finding the Fourth Proportional to 407,246.60, 612,182.10 and 289,731.80

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Solution

The fourth proportional to 407,246.60, 612,182.10 and 289,731.80 is: 435,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,246.60 : 612,182.10 = 289,731.80 : x
  2. Step 2: Convert to fraction form
    407,246.60/612,182.10 = 289,731.80/x
  3. Step 3: Cross multiply
    407,246.60x = 612,182.10 × 289,731.80
  4. Step 4: Simplify right side
    407,246.60x = 177,368,621,760.78
  5. Step 5: Solve for x
    x = 177,368,621,760.78/407,246.60
  6. Step 6: Final answer
    x = 435,531.25

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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.