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Finding the Fourth Proportional to 652,319.80, 978,435.69 and 178,965.52

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Solution

The fourth proportional to 652,319.80, 978,435.69 and 178,965.52 is: 268,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,319.80 : 978,435.69 = 178,965.52 : x
  2. Step 2: Convert to fraction form
    652,319.80/978,435.69 = 178,965.52/x
  3. Step 3: Cross multiply
    652,319.80x = 978,435.69 × 178,965.52
  4. Step 4: Simplify right side
    652,319.80x = 175,106,252,047.41
  5. Step 5: Solve for x
    x = 175,106,252,047.41/652,319.80
  6. Step 6: Final answer
    x = 268,436.21

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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.