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Finding the Fourth Proportional to 434,552.80, 652,120.80 and 256,871.20

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Solution

The fourth proportional to 434,552.80, 652,120.80 and 256,871.20 is: 385,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,552.80 : 652,120.80 = 256,871.20 : x
  2. Step 2: Convert to fraction form
    434,552.80/652,120.80 = 256,871.20/x
  3. Step 3: Cross multiply
    434,552.80x = 652,120.80 × 256,871.20
  4. Step 4: Simplify right side
    434,552.80x = 167,511,052,440.96
  5. Step 5: Solve for x
    x = 167,511,052,440.96/434,552.80
  6. Step 6: Final answer
    x = 385,479.17

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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.