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Finding the Fourth Proportional to 503,998.16, 695,517.15 and 277,643.66

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Solution

The fourth proportional to 503,998.16, 695,517.15 and 277,643.66 is: 383,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,998.16 : 695,517.15 = 277,643.66 : x
  2. Step 2: Convert to fraction form
    503,998.16/695,517.15 = 277,643.66/x
  3. Step 3: Cross multiply
    503,998.16x = 695,517.15 × 277,643.66
  4. Step 4: Simplify right side
    503,998.16x = 193,105,923,641.18
  5. Step 5: Solve for x
    x = 193,105,923,641.18/503,998.16
  6. Step 6: Final answer
    x = 383,148.08

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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.