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Finding the Fourth Proportional to 294,537.80, 441,806.70 and 144,801.20

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Solution

The fourth proportional to 294,537.80, 441,806.70 and 144,801.20 is: 217,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,537.80 : 441,806.70 = 144,801.20 : x
  2. Step 2: Convert to fraction form
    294,537.80/441,806.70 = 144,801.20/x
  3. Step 3: Cross multiply
    294,537.80x = 441,806.70 × 144,801.20
  4. Step 4: Simplify right side
    294,537.80x = 63,974,140,328.04
  5. Step 5: Solve for x
    x = 63,974,140,328.04/294,537.80
  6. Step 6: Final answer
    x = 217,201.80

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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.