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Finding the Fourth Proportional to 582,178.16, 872,971.92 and 266,364.43

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Solution

The fourth proportional to 582,178.16, 872,971.92 and 266,364.43 is: 399,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,178.16 : 872,971.92 = 266,364.43 : x
  2. Step 2: Convert to fraction form
    582,178.16/872,971.92 = 266,364.43/x
  3. Step 3: Cross multiply
    582,178.16x = 872,971.92 × 266,364.43
  4. Step 4: Simplify right side
    582,178.16x = 232,528,665,694.38
  5. Step 5: Solve for x
    x = 232,528,665,694.38/582,178.16
  6. Step 6: Final answer
    x = 399,411.52

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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.