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Finding the Fourth Proportional to 537,556.98, 806,143.32 and 177,661.20

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Solution

The fourth proportional to 537,556.98, 806,143.32 and 177,661.20 is: 266,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,556.98 : 806,143.32 = 177,661.20 : x
  2. Step 2: Convert to fraction form
    537,556.98/806,143.32 = 177,661.20/x
  3. Step 3: Cross multiply
    537,556.98x = 806,143.32 × 177,661.20
  4. Step 4: Simplify right side
    537,556.98x = 143,220,389,603.18
  5. Step 5: Solve for x
    x = 143,220,389,603.18/537,556.98
  6. Step 6: Final answer
    x = 266,428.29

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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.