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Finding the Fourth Proportional to 466,096.60, 643,133.82 and 262,094.68

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Solution

The fourth proportional to 466,096.60, 643,133.82 and 262,094.68 is: 361,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,096.60 : 643,133.82 = 262,094.68 : x
  2. Step 2: Convert to fraction form
    466,096.60/643,133.82 = 262,094.68/x
  3. Step 3: Cross multiply
    466,096.60x = 643,133.82 × 262,094.68
  4. Step 4: Simplify right side
    466,096.60x = 168,561,952,750.08
  5. Step 5: Solve for x
    x = 168,561,952,750.08/466,096.60
  6. Step 6: Final answer
    x = 361,645.96

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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.