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Finding the Fourth Proportional to 541,294.32, 811,406 and 256,484.56

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Solution

The fourth proportional to 541,294.32, 811,406 and 256,484.56 is: 384,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,294.32 : 811,406 = 256,484.56 : x
  2. Step 2: Convert to fraction form
    541,294.32/811,406 = 256,484.56/x
  3. Step 3: Cross multiply
    541,294.32x = 811,406 × 256,484.56
  4. Step 4: Simplify right side
    541,294.32x = 208,113,110,891.36
  5. Step 5: Solve for x
    x = 208,113,110,891.36/541,294.32
  6. Step 6: Final answer
    x = 384,473.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.