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Finding the Fourth Proportional to 465,924.94, 698,888.38 and 128,966.56

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Solution

The fourth proportional to 465,924.94, 698,888.38 and 128,966.56 is: 193,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,924.94 : 698,888.38 = 128,966.56 : x
  2. Step 2: Convert to fraction form
    465,924.94/698,888.38 = 128,966.56/x
  3. Step 3: Cross multiply
    465,924.94x = 698,888.38 × 128,966.56
  4. Step 4: Simplify right side
    465,924.94x = 90,133,231,872.82
  5. Step 5: Solve for x
    x = 90,133,231,872.82/465,924.94
  6. Step 6: Final answer
    x = 193,450.11

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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.