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Finding the Fourth Proportional to 418,846.32, 578,208.66 and 257,839.38

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Solution

The fourth proportional to 418,846.32, 578,208.66 and 257,839.38 is: 355,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,846.32 : 578,208.66 = 257,839.38 : x
  2. Step 2: Convert to fraction form
    418,846.32/578,208.66 = 257,839.38/x
  3. Step 3: Cross multiply
    418,846.32x = 578,208.66 × 257,839.38
  4. Step 4: Simplify right side
    418,846.32x = 149,084,962,405.03
  5. Step 5: Solve for x
    x = 149,084,962,405.03/418,846.32
  6. Step 6: Final answer
    x = 355,941.92

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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.