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Finding the Fourth Proportional to 537,077.50, 805,444.26 and 177,167.80

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Solution

The fourth proportional to 537,077.50, 805,444.26 and 177,167.80 is: 265,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,077.50 : 805,444.26 = 177,167.80 : x
  2. Step 2: Convert to fraction form
    537,077.50/805,444.26 = 177,167.80/x
  3. Step 3: Cross multiply
    537,077.50x = 805,444.26 × 177,167.80
  4. Step 4: Simplify right side
    537,077.50x = 142,698,787,566.83
  5. Step 5: Solve for x
    x = 142,698,787,566.83/537,077.50
  6. Step 6: Final answer
    x = 265,694.97

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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.