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Finding the Fourth Proportional to 385,864.78, 578,837.26 and 105,382

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Solution

The fourth proportional to 385,864.78, 578,837.26 and 105,382 is: 158,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,864.78 : 578,837.26 = 105,382 : x
  2. Step 2: Convert to fraction form
    385,864.78/578,837.26 = 105,382/x
  3. Step 3: Cross multiply
    385,864.78x = 578,837.26 × 105,382
  4. Step 4: Simplify right side
    385,864.78x = 60,999,028,133.32
  5. Step 5: Solve for x
    x = 60,999,028,133.32/385,864.78
  6. Step 6: Final answer
    x = 158,083.95

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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.