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Finding the Fourth Proportional to 306,561.22, 462,721.18 and 306,561.22

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Solution

The fourth proportional to 306,561.22, 462,721.18 and 306,561.22 is: 462,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,561.22 : 462,721.18 = 306,561.22 : x
  2. Step 2: Convert to fraction form
    306,561.22/462,721.18 = 306,561.22/x
  3. Step 3: Cross multiply
    306,561.22x = 462,721.18 × 306,561.22
  4. Step 4: Simplify right side
    306,561.22x = 141,852,369,460.64
  5. Step 5: Solve for x
    x = 141,852,369,460.64/306,561.22
  6. Step 6: Final answer
    x = 462,721.18

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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.