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Finding the Fourth Proportional to 460,792, 635,925.60 and 259,588

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Solution

The fourth proportional to 460,792, 635,925.60 and 259,588 is: 358,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,792 : 635,925.60 = 259,588 : x
  2. Step 2: Convert to fraction form
    460,792/635,925.60 = 259,588/x
  3. Step 3: Cross multiply
    460,792x = 635,925.60 × 259,588
  4. Step 4: Simplify right side
    460,792x = 165,078,654,652.80
  5. Step 5: Solve for x
    x = 165,078,654,652.80/460,792
  6. Step 6: Final answer
    x = 358,249.83

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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.