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Finding the Fourth Proportional to 503,947.08, 695,447.02 and 277,592.58

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Solution

The fourth proportional to 503,947.08, 695,447.02 and 277,592.58 is: 383,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,947.08 : 695,447.02 = 277,592.58 : x
  2. Step 2: Convert to fraction form
    503,947.08/695,447.02 = 277,592.58/x
  3. Step 3: Cross multiply
    503,947.08x = 695,447.02 × 277,592.58
  4. Step 4: Simplify right side
    503,947.08x = 193,050,932,535.11
  5. Step 5: Solve for x
    x = 193,050,932,535.11/503,947.08
  6. Step 6: Final answer
    x = 383,077.79

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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.