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Finding the Fourth Proportional to 537,678, 806,567.22 and 158,599.08

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Solution

The fourth proportional to 537,678, 806,567.22 and 158,599.08 is: 237,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,678 : 806,567.22 = 158,599.08 : x
  2. Step 2: Convert to fraction form
    537,678/806,567.22 = 158,599.08/x
  3. Step 3: Cross multiply
    537,678x = 806,567.22 × 158,599.08
  4. Step 4: Simplify right side
    537,678x = 127,920,819,050.16
  5. Step 5: Solve for x
    x = 127,920,819,050.16/537,678
  6. Step 6: Final answer
    x = 237,913.43

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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.