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Finding the Fourth Proportional to 582,597.24, 873,943.02 and 161,873.16

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Solution

The fourth proportional to 582,597.24, 873,943.02 and 161,873.16 is: 242,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,597.24 : 873,943.02 = 161,873.16 : x
  2. Step 2: Convert to fraction form
    582,597.24/873,943.02 = 161,873.16/x
  3. Step 3: Cross multiply
    582,597.24x = 873,943.02 × 161,873.16
  4. Step 4: Simplify right side
    582,597.24x = 141,467,918,307.34
  5. Step 5: Solve for x
    x = 141,467,918,307.34/582,597.24
  6. Step 6: Final answer
    x = 242,822.84

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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.