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Finding the Fourth Proportional to 346,035.84, 477,231.12 and 225,132.96

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Solution

The fourth proportional to 346,035.84, 477,231.12 and 225,132.96 is: 310,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,035.84 : 477,231.12 = 225,132.96 : x
  2. Step 2: Convert to fraction form
    346,035.84/477,231.12 = 225,132.96/x
  3. Step 3: Cross multiply
    346,035.84x = 477,231.12 × 225,132.96
  4. Step 4: Simplify right side
    346,035.84x = 107,440,454,649.72
  5. Step 5: Solve for x
    x = 107,440,454,649.72/346,035.84
  6. Step 6: Final answer
    x = 310,489.38

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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.