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Finding the Fourth Proportional to 462,213, 693,377.82 and 158,666.34

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Solution

The fourth proportional to 462,213, 693,377.82 and 158,666.34 is: 238,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,213 : 693,377.82 = 158,666.34 : x
  2. Step 2: Convert to fraction form
    462,213/693,377.82 = 158,666.34/x
  3. Step 3: Cross multiply
    462,213x = 693,377.82 × 158,666.34
  4. Step 4: Simplify right side
    462,213x = 110,015,720,936.58
  5. Step 5: Solve for x
    x = 110,015,720,936.58/462,213
  6. Step 6: Final answer
    x = 238,019.53

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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.