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Finding the Fourth Proportional to 264,713.66, 397,071.60 and 65,034.08

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Solution

The fourth proportional to 264,713.66, 397,071.60 and 65,034.08 is: 97,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,713.66 : 397,071.60 = 65,034.08 : x
  2. Step 2: Convert to fraction form
    264,713.66/397,071.60 = 65,034.08/x
  3. Step 3: Cross multiply
    264,713.66x = 397,071.60 × 65,034.08
  4. Step 4: Simplify right side
    264,713.66x = 25,823,186,200.13
  5. Step 5: Solve for x
    x = 25,823,186,200.13/264,713.66
  6. Step 6: Final answer
    x = 97,551.39

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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.