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Finding the Fourth Proportional to 506,251.75, 698,637.53 and 276,823.40

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Solution

The fourth proportional to 506,251.75, 698,637.53 and 276,823.40 is: 382,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,251.75 : 698,637.53 = 276,823.40 : x
  2. Step 2: Convert to fraction form
    506,251.75/698,637.53 = 276,823.40/x
  3. Step 3: Cross multiply
    506,251.75x = 698,637.53 × 276,823.40
  4. Step 4: Simplify right side
    506,251.75x = 193,399,211,544.90
  5. Step 5: Solve for x
    x = 193,399,211,544.90/506,251.75
  6. Step 6: Final answer
    x = 382,021.82

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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.