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Finding the Fourth Proportional to 642,521.66, 963,830.28 and 193,206.56

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Solution

The fourth proportional to 642,521.66, 963,830.28 and 193,206.56 is: 289,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,521.66 : 963,830.28 = 193,206.56 : x
  2. Step 2: Convert to fraction form
    642,521.66/963,830.28 = 193,206.56/x
  3. Step 3: Cross multiply
    642,521.66x = 963,830.28 × 193,206.56
  4. Step 4: Simplify right side
    642,521.66x = 186,218,332,822.64
  5. Step 5: Solve for x
    x = 186,218,332,822.64/642,521.66
  6. Step 6: Final answer
    x = 289,824.21

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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.