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Finding the Fourth Proportional to 546,746.30, 820,119.45 and 412,027.10

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Solution

The fourth proportional to 546,746.30, 820,119.45 and 412,027.10 is: 618,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,746.30 : 820,119.45 = 412,027.10 : x
  2. Step 2: Convert to fraction form
    546,746.30/820,119.45 = 412,027.10/x
  3. Step 3: Cross multiply
    546,746.30x = 820,119.45 × 412,027.10
  4. Step 4: Simplify right side
    546,746.30x = 337,911,438,637.10
  5. Step 5: Solve for x
    x = 337,911,438,637.10/546,746.30
  6. Step 6: Final answer
    x = 618,040.65

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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.