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Finding the Fourth Proportional to 410,009.42, 615,287.73 and 143,769.74

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Solution

The fourth proportional to 410,009.42, 615,287.73 and 143,769.74 is: 215,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,009.42 : 615,287.73 = 143,769.74 : x
  2. Step 2: Convert to fraction form
    410,009.42/615,287.73 = 143,769.74/x
  3. Step 3: Cross multiply
    410,009.42x = 615,287.73 × 143,769.74
  4. Step 4: Simplify right side
    410,009.42x = 88,459,756,967.29
  5. Step 5: Solve for x
    x = 88,459,756,967.29/410,009.42
  6. Step 6: Final answer
    x = 215,750.55

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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.