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Finding the Fourth Proportional to 598,725.18, 826,248.51 and 353,718

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Solution

The fourth proportional to 598,725.18, 826,248.51 and 353,718 is: 488,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,725.18 : 826,248.51 = 353,718 : x
  2. Step 2: Convert to fraction form
    598,725.18/826,248.51 = 353,718/x
  3. Step 3: Cross multiply
    598,725.18x = 826,248.51 × 353,718
  4. Step 4: Simplify right side
    598,725.18x = 292,258,970,460.18
  5. Step 5: Solve for x
    x = 292,258,970,460.18/598,725.18
  6. Step 6: Final answer
    x = 488,135.43

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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.