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Finding the Fourth Proportional to 346,008.78, 477,193.95 and 225,106.02

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Solution

The fourth proportional to 346,008.78, 477,193.95 and 225,106.02 is: 310,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,008.78 : 477,193.95 = 225,106.02 : x
  2. Step 2: Convert to fraction form
    346,008.78/477,193.95 = 225,106.02/x
  3. Step 3: Cross multiply
    346,008.78x = 477,193.95 × 225,106.02
  4. Step 4: Simplify right side
    346,008.78x = 107,419,230,852.58
  5. Step 5: Solve for x
    x = 107,419,230,852.58/346,008.78
  6. Step 6: Final answer
    x = 310,452.33

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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.