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Finding the Fourth Proportional to 410,165.65, 615,248.48 and 366,986.07

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Solution

The fourth proportional to 410,165.65, 615,248.48 and 366,986.07 is: 550,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,165.65 : 615,248.48 = 366,986.07 : x
  2. Step 2: Convert to fraction form
    410,165.65/615,248.48 = 366,986.07/x
  3. Step 3: Cross multiply
    410,165.65x = 615,248.48 × 366,986.07
  4. Step 4: Simplify right side
    410,165.65x = 225,787,621,748.67
  5. Step 5: Solve for x
    x = 225,787,621,748.67/410,165.65
  6. Step 6: Final answer
    x = 550,479.11

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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.