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Finding the Fourth Proportional to 346,301.76, 477,906.72 and 212,089.92

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Solution

The fourth proportional to 346,301.76, 477,906.72 and 212,089.92 is: 292,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,301.76 : 477,906.72 = 212,089.92 : x
  2. Step 2: Convert to fraction form
    346,301.76/477,906.72 = 212,089.92/x
  3. Step 3: Cross multiply
    346,301.76x = 477,906.72 × 212,089.92
  4. Step 4: Simplify right side
    346,301.76x = 101,359,198,012.26
  5. Step 5: Solve for x
    x = 101,359,198,012.26/346,301.76
  6. Step 6: Final answer
    x = 292,690.39

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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.