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Finding the Fourth Proportional to 282,029.80, 423,044.70 and 262,346.80

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Solution

The fourth proportional to 282,029.80, 423,044.70 and 262,346.80 is: 393,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,029.80 : 423,044.70 = 262,346.80 : x
  2. Step 2: Convert to fraction form
    282,029.80/423,044.70 = 262,346.80/x
  3. Step 3: Cross multiply
    282,029.80x = 423,044.70 × 262,346.80
  4. Step 4: Simplify right side
    282,029.80x = 110,984,423,301.96
  5. Step 5: Solve for x
    x = 110,984,423,301.96/282,029.80
  6. Step 6: Final answer
    x = 393,520.20

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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.