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Finding the Fourth Proportional to 537,493.46, 806,111.01 and 158,311.74

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Solution

The fourth proportional to 537,493.46, 806,111.01 and 158,311.74 is: 237,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,493.46 : 806,111.01 = 158,311.74 : x
  2. Step 2: Convert to fraction form
    537,493.46/806,111.01 = 158,311.74/x
  3. Step 3: Cross multiply
    537,493.46x = 806,111.01 × 158,311.74
  4. Step 4: Simplify right side
    537,493.46x = 127,616,837,827.24
  5. Step 5: Solve for x
    x = 127,616,837,827.24/537,493.46
  6. Step 6: Final answer
    x = 237,429.57

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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.