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Finding the Fourth Proportional to 1,194,384, 1,648,249.92 and 657,840

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Solution

The fourth proportional to 1,194,384, 1,648,249.92 and 657,840 is: 907,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,384 : 1,648,249.92 = 657,840 : x
  2. Step 2: Convert to fraction form
    1,194,384/1,648,249.92 = 657,840/x
  3. Step 3: Cross multiply
    1,194,384x = 1,648,249.92 × 657,840
  4. Step 4: Simplify right side
    1,194,384x = 1,084,284,727,372.80
  5. Step 5: Solve for x
    x = 1,084,284,727,372.80/1,194,384
  6. Step 6: Final answer
    x = 907,819.20

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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.