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Finding the Fourth Proportional to 537,055.80, 806,206.10 and 288,223.80

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Solution

The fourth proportional to 537,055.80, 806,206.10 and 288,223.80 is: 432,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,055.80 : 806,206.10 = 288,223.80 : x
  2. Step 2: Convert to fraction form
    537,055.80/806,206.10 = 288,223.80/x
  3. Step 3: Cross multiply
    537,055.80x = 806,206.10 × 288,223.80
  4. Step 4: Simplify right side
    537,055.80x = 232,367,785,725.18
  5. Step 5: Solve for x
    x = 232,367,785,725.18/537,055.80
  6. Step 6: Final answer
    x = 432,669.73

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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.