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Finding the Fourth Proportional to 1,319,199.40, 1,978,799.10 and 688,031.20

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Solution

The fourth proportional to 1,319,199.40, 1,978,799.10 and 688,031.20 is: 1,032,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,199.40 : 1,978,799.10 = 688,031.20 : x
  2. Step 2: Convert to fraction form
    1,319,199.40/1,978,799.10 = 688,031.20/x
  3. Step 3: Cross multiply
    1,319,199.40x = 1,978,799.10 × 688,031.20
  4. Step 4: Simplify right side
    1,319,199.40x = 1,361,475,519,331.92
  5. Step 5: Solve for x
    x = 1,361,475,519,331.92/1,319,199.40
  6. Step 6: Final answer
    x = 1,032,046.80

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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.