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Finding the Fourth Proportional to 658,253.70, 986,586.75 and 302,780.34

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Solution

The fourth proportional to 658,253.70, 986,586.75 and 302,780.34 is: 453,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,253.70 : 986,586.75 = 302,780.34 : x
  2. Step 2: Convert to fraction form
    658,253.70/986,586.75 = 302,780.34/x
  3. Step 3: Cross multiply
    658,253.70x = 986,586.75 × 302,780.34
  4. Step 4: Simplify right side
    658,253.70x = 298,719,071,604.50
  5. Step 5: Solve for x
    x = 298,719,071,604.50/658,253.70
  6. Step 6: Final answer
    x = 453,805.38

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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.