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Finding the Fourth Proportional to 550,030.64, 825,281.26 and 230,257.22

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Solution

The fourth proportional to 550,030.64, 825,281.26 and 230,257.22 is: 345,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,030.64 : 825,281.26 = 230,257.22 : x
  2. Step 2: Convert to fraction form
    550,030.64/825,281.26 = 230,257.22/x
  3. Step 3: Cross multiply
    550,030.64x = 825,281.26 × 230,257.22
  4. Step 4: Simplify right side
    550,030.64x = 190,026,963,943.65
  5. Step 5: Solve for x
    x = 190,026,963,943.65/550,030.64
  6. Step 6: Final answer
    x = 345,484.33

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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.