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Finding the Fourth Proportional to 725,415.40, 1,016,411 and 725,415.40

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Solution

The fourth proportional to 725,415.40, 1,016,411 and 725,415.40 is: 1,016,411

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,415.40 : 1,016,411 = 725,415.40 : x
  2. Step 2: Convert to fraction form
    725,415.40/1,016,411 = 725,415.40/x
  3. Step 3: Cross multiply
    725,415.40x = 1,016,411 × 725,415.40
  4. Step 4: Simplify right side
    725,415.40x = 737,320,192,129.40
  5. Step 5: Solve for x
    x = 737,320,192,129.40/725,415.40
  6. Step 6: Final answer
    x = 1,016,411

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.