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Finding the Fourth Proportional to 410,164.65, 615,246.98 and 366,985.07

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Solution

The fourth proportional to 410,164.65, 615,246.98 and 366,985.07 is: 550,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,164.65 : 615,246.98 = 366,985.07 : x
  2. Step 2: Convert to fraction form
    410,164.65/615,246.98 = 366,985.07/x
  3. Step 3: Cross multiply
    410,164.65x = 615,246.98 × 366,985.07
  4. Step 4: Simplify right side
    410,164.65x = 225,786,455,725.78
  5. Step 5: Solve for x
    x = 225,786,455,725.78/410,164.65
  6. Step 6: Final answer
    x = 550,477.61

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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.