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Finding the Fourth Proportional to 471,052.80, 705,657.60 and 283,507.20

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Solution

The fourth proportional to 471,052.80, 705,657.60 and 283,507.20 is: 424,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,052.80 : 705,657.60 = 283,507.20 : x
  2. Step 2: Convert to fraction form
    471,052.80/705,657.60 = 283,507.20/x
  3. Step 3: Cross multiply
    471,052.80x = 705,657.60 × 283,507.20
  4. Step 4: Simplify right side
    471,052.80x = 200,059,010,334.72
  5. Step 5: Solve for x
    x = 200,059,010,334.72/471,052.80
  6. Step 6: Final answer
    x = 424,706.13

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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.