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Finding the Fourth Proportional to 537,794.16, 806,502.70 and 158,614.12

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Solution

The fourth proportional to 537,794.16, 806,502.70 and 158,614.12 is: 237,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,794.16 : 806,502.70 = 158,614.12 : x
  2. Step 2: Convert to fraction form
    537,794.16/806,502.70 = 158,614.12/x
  3. Step 3: Cross multiply
    537,794.16x = 806,502.70 × 158,614.12
  4. Step 4: Simplify right side
    537,794.16x = 127,922,716,038.12
  5. Step 5: Solve for x
    x = 127,922,716,038.12/537,794.16
  6. Step 6: Final answer
    x = 237,865.57

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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.