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Finding the Fourth Proportional to 537,813.24, 806,531.76 and 158,633.40

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Solution

The fourth proportional to 537,813.24, 806,531.76 and 158,633.40 is: 237,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,813.24 : 806,531.76 = 158,633.40 : x
  2. Step 2: Convert to fraction form
    537,813.24/806,531.76 = 158,633.40/x
  3. Step 3: Cross multiply
    537,813.24x = 806,531.76 × 158,633.40
  4. Step 4: Simplify right side
    537,813.24x = 127,942,875,296.78
  5. Step 5: Solve for x
    x = 127,942,875,296.78/537,813.24
  6. Step 6: Final answer
    x = 237,894.62

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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.