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Finding the Fourth Proportional to 438,942.84, 658,366.40 and 297,695.45

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Solution

The fourth proportional to 438,942.84, 658,366.40 and 297,695.45 is: 446,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,942.84 : 658,366.40 = 297,695.45 : x
  2. Step 2: Convert to fraction form
    438,942.84/658,366.40 = 297,695.45/x
  3. Step 3: Cross multiply
    438,942.84x = 658,366.40 × 297,695.45
  4. Step 4: Simplify right side
    438,942.84x = 195,992,676,932.57
  5. Step 5: Solve for x
    x = 195,992,676,932.57/438,942.84
  6. Step 6: Final answer
    x = 446,510.70

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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.