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Finding the Fourth Proportional to 658,891, 909,367.14 and 417,196

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Solution

The fourth proportional to 658,891, 909,367.14 and 417,196 is: 575,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,891 : 909,367.14 = 417,196 : x
  2. Step 2: Convert to fraction form
    658,891/909,367.14 = 417,196/x
  3. Step 3: Cross multiply
    658,891x = 909,367.14 × 417,196
  4. Step 4: Simplify right side
    658,891x = 379,384,333,339.44
  5. Step 5: Solve for x
    x = 379,384,333,339.44/658,891
  6. Step 6: Final answer
    x = 575,792.25

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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.