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Finding the Fourth Proportional to 1,307,426.80, 1,961,836.80 and 508,734.40

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Solution

The fourth proportional to 1,307,426.80, 1,961,836.80 and 508,734.40 is: 763,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,426.80 : 1,961,836.80 = 508,734.40 : x
  2. Step 2: Convert to fraction form
    1,307,426.80/1,961,836.80 = 508,734.40/x
  3. Step 3: Cross multiply
    1,307,426.80x = 1,961,836.80 × 508,734.40
  4. Step 4: Simplify right side
    1,307,426.80x = 998,053,867,345.92
  5. Step 5: Solve for x
    x = 998,053,867,345.92/1,307,426.80
  6. Step 6: Final answer
    x = 763,372.65

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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.