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Finding the Fourth Proportional to 409,275.09, 613,706.76 and 238,551.66

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Solution

The fourth proportional to 409,275.09, 613,706.76 and 238,551.66 is: 357,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,275.09 : 613,706.76 = 238,551.66 : x
  2. Step 2: Convert to fraction form
    409,275.09/613,706.76 = 238,551.66/x
  3. Step 3: Cross multiply
    409,275.09x = 613,706.76 × 238,551.66
  4. Step 4: Simplify right side
    409,275.09x = 146,400,766,351.22
  5. Step 5: Solve for x
    x = 146,400,766,351.22/409,275.09
  6. Step 6: Final answer
    x = 357,707.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.