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Finding the Fourth Proportional to 282,523.65, 423,424.77 and 132,433.33

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Solution

The fourth proportional to 282,523.65, 423,424.77 and 132,433.33 is: 198,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,523.65 : 423,424.77 = 132,433.33 : x
  2. Step 2: Convert to fraction form
    282,523.65/423,424.77 = 132,433.33/x
  3. Step 3: Cross multiply
    282,523.65x = 423,424.77 × 132,433.33
  4. Step 4: Simplify right side
    282,523.65x = 56,075,551,534.32
  5. Step 5: Solve for x
    x = 56,075,551,534.32/282,523.65
  6. Step 6: Final answer
    x = 198,480.91

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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.