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Finding the Fourth Proportional to 698,265.77, 963,607.39 and 396,459.77

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Solution

The fourth proportional to 698,265.77, 963,607.39 and 396,459.77 is: 547,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,265.77 : 963,607.39 = 396,459.77 : x
  2. Step 2: Convert to fraction form
    698,265.77/963,607.39 = 396,459.77/x
  3. Step 3: Cross multiply
    698,265.77x = 963,607.39 × 396,459.77
  4. Step 4: Simplify right side
    698,265.77x = 382,031,558,400.51
  5. Step 5: Solve for x
    x = 382,031,558,400.51/698,265.77
  6. Step 6: Final answer
    x = 547,114.83

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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.