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Finding the Fourth Proportional to 345,617.75, 476,952.50 and 186,641.75

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Solution

The fourth proportional to 345,617.75, 476,952.50 and 186,641.75 is: 257,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,617.75 : 476,952.50 = 186,641.75 : x
  2. Step 2: Convert to fraction form
    345,617.75/476,952.50 = 186,641.75/x
  3. Step 3: Cross multiply
    345,617.75x = 476,952.50 × 186,641.75
  4. Step 4: Simplify right side
    345,617.75x = 89,019,249,266.88
  5. Step 5: Solve for x
    x = 89,019,249,266.88/345,617.75
  6. Step 6: Final answer
    x = 257,565.62

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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.