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Finding the Fourth Proportional to 306,565.71, 462,728.22 and 306,565.71

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Solution

The fourth proportional to 306,565.71, 462,728.22 and 306,565.71 is: 462,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,565.71 : 462,728.22 = 306,565.71 : x
  2. Step 2: Convert to fraction form
    306,565.71/462,728.22 = 306,565.71/x
  3. Step 3: Cross multiply
    306,565.71x = 462,728.22 × 306,565.71
  4. Step 4: Simplify right side
    306,565.71x = 141,856,602,416.48
  5. Step 5: Solve for x
    x = 141,856,602,416.48/306,565.71
  6. Step 6: Final answer
    x = 462,728.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.