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Finding the Fourth Proportional to 582,210, 873,314.84 and 161,485.92

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Solution

The fourth proportional to 582,210, 873,314.84 and 161,485.92 is: 242,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,210 : 873,314.84 = 161,485.92 : x
  2. Step 2: Convert to fraction form
    582,210/873,314.84 = 161,485.92/x
  3. Step 3: Cross multiply
    582,210x = 873,314.84 × 161,485.92
  4. Step 4: Simplify right side
    582,210x = 141,028,050,387.05
  5. Step 5: Solve for x
    x = 141,028,050,387.05/582,210
  6. Step 6: Final answer
    x = 242,228.84

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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.