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Finding the Fourth Proportional to 550,615.24, 825,763.11 and 230,758.75

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Solution

The fourth proportional to 550,615.24, 825,763.11 and 230,758.75 is: 346,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,615.24 : 825,763.11 = 230,758.75 : x
  2. Step 2: Convert to fraction form
    550,615.24/825,763.11 = 230,758.75/x
  3. Step 3: Cross multiply
    550,615.24x = 825,763.11 × 230,758.75
  4. Step 4: Simplify right side
    550,615.24x = 190,552,060,904.11
  5. Step 5: Solve for x
    x = 190,552,060,904.11/550,615.24
  6. Step 6: Final answer
    x = 346,071.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.