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Finding the Fourth Proportional to 546,822.40, 820,233.60 and 398,106.40

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Solution

The fourth proportional to 546,822.40, 820,233.60 and 398,106.40 is: 597,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,822.40 : 820,233.60 = 398,106.40 : x
  2. Step 2: Convert to fraction form
    546,822.40/820,233.60 = 398,106.40/x
  3. Step 3: Cross multiply
    546,822.40x = 820,233.60 × 398,106.40
  4. Step 4: Simplify right side
    546,822.40x = 326,540,245,655.04
  5. Step 5: Solve for x
    x = 326,540,245,655.04/546,822.40
  6. Step 6: Final answer
    x = 597,159.60

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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.