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Finding the Fourth Proportional to 410,386.08, 566,568.40 and 312,824.04

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Solution

The fourth proportional to 410,386.08, 566,568.40 and 312,824.04 is: 431,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,386.08 : 566,568.40 = 312,824.04 : x
  2. Step 2: Convert to fraction form
    410,386.08/566,568.40 = 312,824.04/x
  3. Step 3: Cross multiply
    410,386.08x = 566,568.40 × 312,824.04
  4. Step 4: Simplify right side
    410,386.08x = 177,236,215,824.34
  5. Step 5: Solve for x
    x = 177,236,215,824.34/410,386.08
  6. Step 6: Final answer
    x = 431,876.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.