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Finding the Fourth Proportional to 537,048.80, 806,195.60 and 288,216.80

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Solution

The fourth proportional to 537,048.80, 806,195.60 and 288,216.80 is: 432,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,048.80 : 806,195.60 = 288,216.80 : x
  2. Step 2: Convert to fraction form
    537,048.80/806,195.60 = 288,216.80/x
  3. Step 3: Cross multiply
    537,048.80x = 806,195.60 × 288,216.80
  4. Step 4: Simplify right side
    537,048.80x = 232,359,116,006.08
  5. Step 5: Solve for x
    x = 232,359,116,006.08/537,048.80
  6. Step 6: Final answer
    x = 432,659.22

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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.