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Finding the Fourth Proportional to 689,193.97, 950,948.31 and 402,658.71

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Solution

The fourth proportional to 689,193.97, 950,948.31 and 402,658.71 is: 555,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,193.97 : 950,948.31 = 402,658.71 : x
  2. Step 2: Convert to fraction form
    689,193.97/950,948.31 = 402,658.71/x
  3. Step 3: Cross multiply
    689,193.97x = 950,948.31 × 402,658.71
  4. Step 4: Simplify right side
    689,193.97x = 382,907,615,026.54
  5. Step 5: Solve for x
    x = 382,907,615,026.54/689,193.97
  6. Step 6: Final answer
    x = 555,587.59

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1.5x scale

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.