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Finding the Fourth Proportional to 345,875.66, 477,309.05 and 192,923.75

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Solution

The fourth proportional to 345,875.66, 477,309.05 and 192,923.75 is: 266,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,875.66 : 477,309.05 = 192,923.75 : x
  2. Step 2: Convert to fraction form
    345,875.66/477,309.05 = 192,923.75/x
  3. Step 3: Cross multiply
    345,875.66x = 477,309.05 × 192,923.75
  4. Step 4: Simplify right side
    345,875.66x = 92,084,253,823.29
  5. Step 5: Solve for x
    x = 92,084,253,823.29/345,875.66
  6. Step 6: Final answer
    x = 266,235.14

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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.