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Finding the Fourth Proportional to 345,993.95, 477,460.82 and 202,849.33

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Solution

The fourth proportional to 345,993.95, 477,460.82 and 202,849.33 is: 279,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,993.95 : 477,460.82 = 202,849.33 : x
  2. Step 2: Convert to fraction form
    345,993.95/477,460.82 = 202,849.33/x
  3. Step 3: Cross multiply
    345,993.95x = 477,460.82 × 202,849.33
  4. Step 4: Simplify right side
    345,993.95x = 96,852,604,036.70
  5. Step 5: Solve for x
    x = 96,852,604,036.70/345,993.95
  6. Step 6: Final answer
    x = 279,925.72

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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.