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Finding the Fourth Proportional to 294,053.76, 441,164.24 and 144,338.88

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Solution

The fourth proportional to 294,053.76, 441,164.24 and 144,338.88 is: 216,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,053.76 : 441,164.24 = 144,338.88 : x
  2. Step 2: Convert to fraction form
    294,053.76/441,164.24 = 144,338.88/x
  3. Step 3: Cross multiply
    294,053.76x = 441,164.24 × 144,338.88
  4. Step 4: Simplify right side
    294,053.76x = 63,677,152,297.65
  5. Step 5: Solve for x
    x = 63,677,152,297.65/294,053.76
  6. Step 6: Final answer
    x = 216,549.36

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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.