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Finding the Fourth Proportional to 507,104.81, 699,802.07 and 277,657.93

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Solution

The fourth proportional to 507,104.81, 699,802.07 and 277,657.93 is: 383,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,104.81 : 699,802.07 = 277,657.93 : x
  2. Step 2: Convert to fraction form
    507,104.81/699,802.07 = 277,657.93/x
  3. Step 3: Cross multiply
    507,104.81x = 699,802.07 × 277,657.93
  4. Step 4: Simplify right side
    507,104.81x = 194,305,593,110.56
  5. Step 5: Solve for x
    x = 194,305,593,110.56/507,104.81
  6. Step 6: Final answer
    x = 383,166.53

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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.