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Finding the Fourth Proportional to 410,398.56, 566,585.64 and 312,836.52

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Solution

The fourth proportional to 410,398.56, 566,585.64 and 312,836.52 is: 431,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,398.56 : 566,585.64 = 312,836.52 : x
  2. Step 2: Convert to fraction form
    410,398.56/566,585.64 = 312,836.52/x
  3. Step 3: Cross multiply
    410,398.56x = 566,585.64 × 312,836.52
  4. Step 4: Simplify right side
    410,398.56x = 177,248,679,899.57
  5. Step 5: Solve for x
    x = 177,248,679,899.57/410,398.56
  6. Step 6: Final answer
    x = 431,894.01

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Why These Related Problems?

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