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Finding the Fourth Proportional to 582,398.54, 873,564.95 and 258,093.23

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Solution

The fourth proportional to 582,398.54, 873,564.95 and 258,093.23 is: 387,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,398.54 : 873,564.95 = 258,093.23 : x
  2. Step 2: Convert to fraction form
    582,398.54/873,564.95 = 258,093.23/x
  3. Step 3: Cross multiply
    582,398.54x = 873,564.95 × 258,093.23
  4. Step 4: Simplify right side
    582,398.54x = 225,461,199,560.29
  5. Step 5: Solve for x
    x = 225,461,199,560.29/582,398.54
  6. Step 6: Final answer
    x = 387,125.28

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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.