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Finding the Fourth Proportional to 477,195.66, 658,542.64 and 259,419.02

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Solution

The fourth proportional to 477,195.66, 658,542.64 and 259,419.02 is: 358,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,195.66 : 658,542.64 = 259,419.02 : x
  2. Step 2: Convert to fraction form
    477,195.66/658,542.64 = 259,419.02/x
  3. Step 3: Cross multiply
    477,195.66x = 658,542.64 × 259,419.02
  4. Step 4: Simplify right side
    477,195.66x = 170,838,486,297.01
  5. Step 5: Solve for x
    x = 170,838,486,297.01/477,195.66
  6. Step 6: Final answer
    x = 358,005.11

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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.