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Finding the Fourth Proportional to 546,713.60, 820,070.40 and 310,517.60

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Solution

The fourth proportional to 546,713.60, 820,070.40 and 310,517.60 is: 465,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,713.60 : 820,070.40 = 310,517.60 : x
  2. Step 2: Convert to fraction form
    546,713.60/820,070.40 = 310,517.60/x
  3. Step 3: Cross multiply
    546,713.60x = 820,070.40 × 310,517.60
  4. Step 4: Simplify right side
    546,713.60x = 254,646,292,439.04
  5. Step 5: Solve for x
    x = 254,646,292,439.04/546,713.60
  6. Step 6: Final answer
    x = 465,776.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.