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Finding the Fourth Proportional to 346,462.25, 477,854.44 and 298,145.61

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Solution

The fourth proportional to 346,462.25, 477,854.44 and 298,145.61 is: 411,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,462.25 : 477,854.44 = 298,145.61 : x
  2. Step 2: Convert to fraction form
    346,462.25/477,854.44 = 298,145.61/x
  3. Step 3: Cross multiply
    346,462.25x = 477,854.44 × 298,145.61
  4. Step 4: Simplify right side
    346,462.25x = 142,470,203,505.01
  5. Step 5: Solve for x
    x = 142,470,203,505.01/346,462.25
  6. Step 6: Final answer
    x = 411,214.22

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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.