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Finding the Fourth Proportional to 288,031.80, 431,291.70 and 203,334.60

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Solution

The fourth proportional to 288,031.80, 431,291.70 and 203,334.60 is: 304,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,031.80 : 431,291.70 = 203,334.60 : x
  2. Step 2: Convert to fraction form
    288,031.80/431,291.70 = 203,334.60/x
  3. Step 3: Cross multiply
    288,031.80x = 431,291.70 × 203,334.60
  4. Step 4: Simplify right side
    288,031.80x = 87,696,525,302.82
  5. Step 5: Solve for x
    x = 87,696,525,302.82/288,031.80
  6. Step 6: Final answer
    x = 304,468.21

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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.