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Finding the Fourth Proportional to 546,867.40, 820,301.10 and 414,007.15

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Solution

The fourth proportional to 546,867.40, 820,301.10 and 414,007.15 is: 621,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,867.40 : 820,301.10 = 414,007.15 : x
  2. Step 2: Convert to fraction form
    546,867.40/820,301.10 = 414,007.15/x
  3. Step 3: Cross multiply
    546,867.40x = 820,301.10 × 414,007.15
  4. Step 4: Simplify right side
    546,867.40x = 339,610,520,552.87
  5. Step 5: Solve for x
    x = 339,610,520,552.87/546,867.40
  6. Step 6: Final answer
    x = 621,010.73

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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.