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Finding the Fourth Proportional to 289,209.80, 433,296.30 and 247,737.80

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Solution

The fourth proportional to 289,209.80, 433,296.30 and 247,737.80 is: 371,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,209.80 : 433,296.30 = 247,737.80 : x
  2. Step 2: Convert to fraction form
    289,209.80/433,296.30 = 247,737.80/x
  3. Step 3: Cross multiply
    289,209.80x = 433,296.30 × 247,737.80
  4. Step 4: Simplify right side
    289,209.80x = 107,343,872,110.14
  5. Step 5: Solve for x
    x = 107,343,872,110.14/289,209.80
  6. Step 6: Final answer
    x = 371,162.64

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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.