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Finding the Fourth Proportional to 612,711.38, 845,526.92 and 340,778.46

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Solution

The fourth proportional to 612,711.38, 845,526.92 and 340,778.46 is: 470,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,711.38 : 845,526.92 = 340,778.46 : x
  2. Step 2: Convert to fraction form
    612,711.38/845,526.92 = 340,778.46/x
  3. Step 3: Cross multiply
    612,711.38x = 845,526.92 × 340,778.46
  4. Step 4: Simplify right side
    612,711.38x = 288,137,361,686.14
  5. Step 5: Solve for x
    x = 288,137,361,686.14/612,711.38
  6. Step 6: Final answer
    x = 470,266.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.