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Finding the Fourth Proportional to 598,217, 825,556.74 and 329,962.28

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Solution

The fourth proportional to 598,217, 825,556.74 and 329,962.28 is: 455,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,217 : 825,556.74 = 329,962.28 : x
  2. Step 2: Convert to fraction form
    598,217/825,556.74 = 329,962.28/x
  3. Step 3: Cross multiply
    598,217x = 825,556.74 × 329,962.28
  4. Step 4: Simplify right side
    598,217x = 272,402,584,199.77
  5. Step 5: Solve for x
    x = 272,402,584,199.77/598,217
  6. Step 6: Final answer
    x = 455,357.48

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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.