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Finding the Fourth Proportional to 296,814.30, 445,264.65 and 97,086.30

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Solution

The fourth proportional to 296,814.30, 445,264.65 and 97,086.30 is: 145,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,814.30 : 445,264.65 = 97,086.30 : x
  2. Step 2: Convert to fraction form
    296,814.30/445,264.65 = 97,086.30/x
  3. Step 3: Cross multiply
    296,814.30x = 445,264.65 × 97,086.30
  4. Step 4: Simplify right side
    296,814.30x = 43,229,097,389.30
  5. Step 5: Solve for x
    x = 43,229,097,389.30/296,814.30
  6. Step 6: Final answer
    x = 145,643.58

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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.