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Finding the Fourth Proportional to 582,267.84, 873,396.90 and 161,543.76

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Solution

The fourth proportional to 582,267.84, 873,396.90 and 161,543.76 is: 242,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,267.84 : 873,396.90 = 161,543.76 : x
  2. Step 2: Convert to fraction form
    582,267.84/873,396.90 = 161,543.76/x
  3. Step 3: Cross multiply
    582,267.84x = 873,396.90 × 161,543.76
  4. Step 4: Simplify right side
    582,267.84x = 141,091,819,198.34
  5. Step 5: Solve for x
    x = 141,091,819,198.34/582,267.84
  6. Step 6: Final answer
    x = 242,314.29

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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.