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Finding the Fourth Proportional to 296,820.30, 445,273.65 and 97,092.30

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Solution

The fourth proportional to 296,820.30, 445,273.65 and 97,092.30 is: 145,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,820.30 : 445,273.65 = 97,092.30 : x
  2. Step 2: Convert to fraction form
    296,820.30/445,273.65 = 97,092.30/x
  3. Step 3: Cross multiply
    296,820.30x = 445,273.65 × 97,092.30
  4. Step 4: Simplify right side
    296,820.30x = 43,232,642,807.90
  5. Step 5: Solve for x
    x = 43,232,642,807.90/296,820.30
  6. Step 6: Final answer
    x = 145,652.58

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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.