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Finding the Fourth Proportional to 582,266.78, 873,400.53 and 161,543.06

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Solution

The fourth proportional to 582,266.78, 873,400.53 and 161,543.06 is: 242,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,266.78 : 873,400.53 = 161,543.06 : x
  2. Step 2: Convert to fraction form
    582,266.78/873,400.53 = 161,543.06/x
  3. Step 3: Cross multiply
    582,266.78x = 873,400.53 × 161,543.06
  4. Step 4: Simplify right side
    582,266.78x = 141,091,794,221.82
  5. Step 5: Solve for x
    x = 141,091,794,221.82/582,266.78
  6. Step 6: Final answer
    x = 242,314.69

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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.