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Finding the Fourth Proportional to 288,048.80, 432,267.60 and 187,965.20

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Solution

The fourth proportional to 288,048.80, 432,267.60 and 187,965.20 is: 282,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,048.80 : 432,267.60 = 187,965.20 : x
  2. Step 2: Convert to fraction form
    288,048.80/432,267.60 = 187,965.20/x
  3. Step 3: Cross multiply
    288,048.80x = 432,267.60 × 187,965.20
  4. Step 4: Simplify right side
    288,048.80x = 81,251,265,887.52
  5. Step 5: Solve for x
    x = 81,251,265,887.52/288,048.80
  6. Step 6: Final answer
    x = 282,074.66

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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.