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Finding the Fourth Proportional to 505,788.06, 697,966.86 and 276,353.31

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Solution

The fourth proportional to 505,788.06, 697,966.86 and 276,353.31 is: 381,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,788.06 : 697,966.86 = 276,353.31 : x
  2. Step 2: Convert to fraction form
    505,788.06/697,966.86 = 276,353.31/x
  3. Step 3: Cross multiply
    505,788.06x = 697,966.86 × 276,353.31
  4. Step 4: Simplify right side
    505,788.06x = 192,885,452,031.31
  5. Step 5: Solve for x
    x = 192,885,452,031.31/505,788.06
  6. Step 6: Final answer
    x = 381,356.28

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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.