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Finding the Fourth Proportional to 505,802.38, 697,999.11 and 276,354.76

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Solution

The fourth proportional to 505,802.38, 697,999.11 and 276,354.76 is: 381,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,802.38 : 697,999.11 = 276,354.76 : x
  2. Step 2: Convert to fraction form
    505,802.38/697,999.11 = 276,354.76/x
  3. Step 3: Cross multiply
    505,802.38x = 697,999.11 × 276,354.76
  4. Step 4: Simplify right side
    505,802.38x = 192,895,376,524.26
  5. Step 5: Solve for x
    x = 192,895,376,524.26/505,802.38
  6. Step 6: Final answer
    x = 381,365.10

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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.