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Finding the Fourth Proportional to 698,441.66, 963,856.23 and 396,637.82

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Solution

The fourth proportional to 698,441.66, 963,856.23 and 396,637.82 is: 547,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,441.66 : 963,856.23 = 396,637.82 : x
  2. Step 2: Convert to fraction form
    698,441.66/963,856.23 = 396,637.82/x
  3. Step 3: Cross multiply
    698,441.66x = 963,856.23 × 396,637.82
  4. Step 4: Simplify right side
    698,441.66x = 382,301,833,860.62
  5. Step 5: Solve for x
    x = 382,301,833,860.62/698,441.66
  6. Step 6: Final answer
    x = 547,364.02

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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.