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Finding the Fourth Proportional to 506,998.09, 699,657.32 and 277,554.66

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Solution

The fourth proportional to 506,998.09, 699,657.32 and 277,554.66 is: 383,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,998.09 : 699,657.32 = 277,554.66 : x
  2. Step 2: Convert to fraction form
    506,998.09/699,657.32 = 277,554.66/x
  3. Step 3: Cross multiply
    506,998.09x = 699,657.32 × 277,554.66
  4. Step 4: Simplify right side
    506,998.09x = 194,193,149,569.11
  5. Step 5: Solve for x
    x = 194,193,149,569.11/506,998.09
  6. Step 6: Final answer
    x = 383,025.41

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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.