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Finding the Fourth Proportional to 460,832, 635,948.16 and 248,864

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Solution

The fourth proportional to 460,832, 635,948.16 and 248,864 is: 343,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,832 : 635,948.16 = 248,864 : x
  2. Step 2: Convert to fraction form
    460,832/635,948.16 = 248,864/x
  3. Step 3: Cross multiply
    460,832x = 635,948.16 × 248,864
  4. Step 4: Simplify right side
    460,832x = 158,264,602,890.24
  5. Step 5: Solve for x
    x = 158,264,602,890.24/460,832
  6. Step 6: Final answer
    x = 343,432.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.