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Finding the Fourth Proportional to 410,022.24, 565,886.88 and 240,324

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Solution

The fourth proportional to 410,022.24, 565,886.88 and 240,324 is: 331,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,022.24 : 565,886.88 = 240,324 : x
  2. Step 2: Convert to fraction form
    410,022.24/565,886.88 = 240,324/x
  3. Step 3: Cross multiply
    410,022.24x = 565,886.88 × 240,324
  4. Step 4: Simplify right side
    410,022.24x = 135,996,198,549.12
  5. Step 5: Solve for x
    x = 135,996,198,549.12/410,022.24
  6. Step 6: Final answer
    x = 331,680.05

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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.