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Finding the Fourth Proportional to 349,335, 482,059.62 and 206,062.20

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Solution

The fourth proportional to 349,335, 482,059.62 and 206,062.20 is: 284,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,335 : 482,059.62 = 206,062.20 : x
  2. Step 2: Convert to fraction form
    349,335/482,059.62 = 206,062.20/x
  3. Step 3: Cross multiply
    349,335x = 482,059.62 × 206,062.20
  4. Step 4: Simplify right side
    349,335x = 99,334,265,828.36
  5. Step 5: Solve for x
    x = 99,334,265,828.36/349,335
  6. Step 6: Final answer
    x = 284,352.46

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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.