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Finding the Fourth Proportional to 346,505.68, 518,824.11 and 226,264.82

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Solution

The fourth proportional to 346,505.68, 518,824.11 and 226,264.82 is: 338,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,505.68 : 518,824.11 = 226,264.82 : x
  2. Step 2: Convert to fraction form
    346,505.68/518,824.11 = 226,264.82/x
  3. Step 3: Cross multiply
    346,505.68x = 518,824.11 × 226,264.82
  4. Step 4: Simplify right side
    346,505.68x = 117,391,643,860.81
  5. Step 5: Solve for x
    x = 117,391,643,860.81/346,505.68
  6. Step 6: Final answer
    x = 338,787.07

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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.