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Finding the Fourth Proportional to 546,004.80, 819,007.20 and 280,284.30

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Solution

The fourth proportional to 546,004.80, 819,007.20 and 280,284.30 is: 420,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,004.80 : 819,007.20 = 280,284.30 : x
  2. Step 2: Convert to fraction form
    546,004.80/819,007.20 = 280,284.30/x
  3. Step 3: Cross multiply
    546,004.80x = 819,007.20 × 280,284.30
  4. Step 4: Simplify right side
    546,004.80x = 229,554,859,746.96
  5. Step 5: Solve for x
    x = 229,554,859,746.96/546,004.80
  6. Step 6: Final answer
    x = 420,426.45

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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.