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Finding the Fourth Proportional to 537,611.45, 806,416.16 and 158,798.18

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Solution

The fourth proportional to 537,611.45, 806,416.16 and 158,798.18 is: 238,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,611.45 : 806,416.16 = 158,798.18 : x
  2. Step 2: Convert to fraction form
    537,611.45/806,416.16 = 158,798.18/x
  3. Step 3: Cross multiply
    537,611.45x = 806,416.16 × 158,798.18
  4. Step 4: Simplify right side
    537,611.45x = 128,057,419,752.64
  5. Step 5: Solve for x
    x = 128,057,419,752.64/537,611.45
  6. Step 6: Final answer
    x = 238,196.97

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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.