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Finding the Fourth Proportional to 410,685.80, 567,301.12 and 309,476.30

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Solution

The fourth proportional to 410,685.80, 567,301.12 and 309,476.30 is: 427,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,685.80 : 567,301.12 = 309,476.30 : x
  2. Step 2: Convert to fraction form
    410,685.80/567,301.12 = 309,476.30/x
  3. Step 3: Cross multiply
    410,685.80x = 567,301.12 × 309,476.30
  4. Step 4: Simplify right side
    410,685.80x = 175,566,247,993.26
  5. Step 5: Solve for x
    x = 175,566,247,993.26/410,685.80
  6. Step 6: Final answer
    x = 427,495.30

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1.5x scale

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.