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Finding the Fourth Proportional to 299,667, 413,365.32 and 186,526.20

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Solution

The fourth proportional to 299,667, 413,365.32 and 186,526.20 is: 257,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,667 : 413,365.32 = 186,526.20 : x
  2. Step 2: Convert to fraction form
    299,667/413,365.32 = 186,526.20/x
  3. Step 3: Cross multiply
    299,667x = 413,365.32 × 186,526.20
  4. Step 4: Simplify right side
    299,667x = 77,103,462,351.38
  5. Step 5: Solve for x
    x = 77,103,462,351.38/299,667
  6. Step 6: Final answer
    x = 257,297.14

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1.5x scale

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.