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Finding the Fourth Proportional to 1,386,593.82, 1,913,512.14 and 813,643.56

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Solution

The fourth proportional to 1,386,593.82, 1,913,512.14 and 813,643.56 is: 1,122,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,593.82 : 1,913,512.14 = 813,643.56 : x
  2. Step 2: Convert to fraction form
    1,386,593.82/1,913,512.14 = 813,643.56/x
  3. Step 3: Cross multiply
    1,386,593.82x = 1,913,512.14 × 813,643.56
  4. Step 4: Simplify right side
    1,386,593.82x = 1,556,916,829,692.82
  5. Step 5: Solve for x
    x = 1,556,916,829,692.82/1,386,593.82
  6. Step 6: Final answer
    x = 1,122,835.55

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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.