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Finding the Fourth Proportional to 506,197.95, 698,531.72 and 276,751.23

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Solution

The fourth proportional to 506,197.95, 698,531.72 and 276,751.23 is: 381,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,197.95 : 698,531.72 = 276,751.23 : x
  2. Step 2: Convert to fraction form
    506,197.95/698,531.72 = 276,751.23/x
  3. Step 3: Cross multiply
    506,197.95x = 698,531.72 × 276,751.23
  4. Step 4: Simplify right side
    506,197.95x = 193,319,511,320.26
  5. Step 5: Solve for x
    x = 193,319,511,320.26/506,197.95
  6. Step 6: Final answer
    x = 381,904.97

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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.