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Finding the Fourth Proportional to 582,461.17, 873,837.32 and 462,968.96

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Solution

The fourth proportional to 582,461.17, 873,837.32 and 462,968.96 is: 694,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,461.17 : 873,837.32 = 462,968.96 : x
  2. Step 2: Convert to fraction form
    582,461.17/873,837.32 = 462,968.96/x
  3. Step 3: Cross multiply
    582,461.17x = 873,837.32 × 462,968.96
  4. Step 4: Simplify right side
    582,461.17x = 404,559,548,565.56
  5. Step 5: Solve for x
    x = 404,559,548,565.56/582,461.17
  6. Step 6: Final answer
    x = 694,569.13

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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.