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Finding the Fourth Proportional to 542,622.77, 814,050.80 and 182,829.38

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Solution

The fourth proportional to 542,622.77, 814,050.80 and 182,829.38 is: 274,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,622.77 : 814,050.80 = 182,829.38 : x
  2. Step 2: Convert to fraction form
    542,622.77/814,050.80 = 182,829.38/x
  3. Step 3: Cross multiply
    542,622.77x = 814,050.80 × 182,829.38
  4. Step 4: Simplify right side
    542,622.77x = 148,832,403,052.50
  5. Step 5: Solve for x
    x = 148,832,403,052.50/542,622.77
  6. Step 6: Final answer
    x = 274,283.37

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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.