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Finding the Fourth Proportional to 542,431.78, 813,349.59 and 430,826.74

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Solution

The fourth proportional to 542,431.78, 813,349.59 and 430,826.74 is: 646,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,431.78 : 813,349.59 = 430,826.74 : x
  2. Step 2: Convert to fraction form
    542,431.78/813,349.59 = 430,826.74/x
  3. Step 3: Cross multiply
    542,431.78x = 813,349.59 × 430,826.74
  4. Step 4: Simplify right side
    542,431.78x = 350,412,752,340.04
  5. Step 5: Solve for x
    x = 350,412,752,340.04/542,431.78
  6. Step 6: Final answer
    x = 646,003.36

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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.