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Finding the Fourth Proportional to 410,111.40, 615,167.10 and 316,799.40

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Solution

The fourth proportional to 410,111.40, 615,167.10 and 316,799.40 is: 475,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,111.40 : 615,167.10 = 316,799.40 : x
  2. Step 2: Convert to fraction form
    410,111.40/615,167.10 = 316,799.40/x
  3. Step 3: Cross multiply
    410,111.40x = 615,167.10 × 316,799.40
  4. Step 4: Simplify right side
    410,111.40x = 194,884,568,179.74
  5. Step 5: Solve for x
    x = 194,884,568,179.74/410,111.40
  6. Step 6: Final answer
    x = 475,199.10

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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.