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Finding the Fourth Proportional to 509,870.50, 703,638.48 and 280,445.54

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Solution

The fourth proportional to 509,870.50, 703,638.48 and 280,445.54 is: 387,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,870.50 : 703,638.48 = 280,445.54 : x
  2. Step 2: Convert to fraction form
    509,870.50/703,638.48 = 280,445.54/x
  3. Step 3: Cross multiply
    509,870.50x = 703,638.48 × 280,445.54
  4. Step 4: Simplify right side
    509,870.50x = 197,332,273,488.38
  5. Step 5: Solve for x
    x = 197,332,273,488.38/509,870.50
  6. Step 6: Final answer
    x = 387,024.30

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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.