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Finding the Fourth Proportional to 410,178.20, 615,267.30 and 291,205.40

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Solution

The fourth proportional to 410,178.20, 615,267.30 and 291,205.40 is: 436,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,178.20 : 615,267.30 = 291,205.40 : x
  2. Step 2: Convert to fraction form
    410,178.20/615,267.30 = 291,205.40/x
  3. Step 3: Cross multiply
    410,178.20x = 615,267.30 × 291,205.40
  4. Step 4: Simplify right side
    410,178.20x = 179,169,160,203.42
  5. Step 5: Solve for x
    x = 179,169,160,203.42/410,178.20
  6. Step 6: Final answer
    x = 436,808.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.