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Finding the Fourth Proportional to 345,801.66, 477,325.35 and 202,608.06

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Solution

The fourth proportional to 345,801.66, 477,325.35 and 202,608.06 is: 279,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,801.66 : 477,325.35 = 202,608.06 : x
  2. Step 2: Convert to fraction form
    345,801.66/477,325.35 = 202,608.06/x
  3. Step 3: Cross multiply
    345,801.66x = 477,325.35 × 202,608.06
  4. Step 4: Simplify right side
    345,801.66x = 96,709,963,152.32
  5. Step 5: Solve for x
    x = 96,709,963,152.32/345,801.66
  6. Step 6: Final answer
    x = 279,668.88

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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.