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Finding the Fourth Proportional to 410,232.20, 615,348.30 and 291,259.40

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Solution

The fourth proportional to 410,232.20, 615,348.30 and 291,259.40 is: 436,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,232.20 : 615,348.30 = 291,259.40 : x
  2. Step 2: Convert to fraction form
    410,232.20/615,348.30 = 291,259.40/x
  3. Step 3: Cross multiply
    410,232.20x = 615,348.30 × 291,259.40
  4. Step 4: Simplify right side
    410,232.20x = 179,225,976,649.02
  5. Step 5: Solve for x
    x = 179,225,976,649.02/410,232.20
  6. Step 6: Final answer
    x = 436,889.10

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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.