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Finding the Fourth Proportional to 410,182.20, 615,273.30 and 291,209.40

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Solution

The fourth proportional to 410,182.20, 615,273.30 and 291,209.40 is: 436,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,182.20 : 615,273.30 = 291,209.40 : x
  2. Step 2: Convert to fraction form
    410,182.20/615,273.30 = 291,209.40/x
  3. Step 3: Cross multiply
    410,182.20x = 615,273.30 × 291,209.40
  4. Step 4: Simplify right side
    410,182.20x = 179,173,368,529.02
  5. Step 5: Solve for x
    x = 179,173,368,529.02/410,182.20
  6. Step 6: Final answer
    x = 436,814.10

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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.