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Finding the Fourth Proportional to 264,931.58, 397,397.56 and 65,256.06

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Solution

The fourth proportional to 264,931.58, 397,397.56 and 65,256.06 is: 97,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,931.58 : 397,397.56 = 65,256.06 : x
  2. Step 2: Convert to fraction form
    264,931.58/397,397.56 = 65,256.06/x
  3. Step 3: Cross multiply
    264,931.58x = 397,397.56 × 65,256.06
  4. Step 4: Simplify right side
    264,931.58x = 25,932,599,019.21
  5. Step 5: Solve for x
    x = 25,932,599,019.21/264,931.58
  6. Step 6: Final answer
    x = 97,884.14

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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.