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Finding the Fourth Proportional to 296,822.30, 445,276.65 and 97,094.30

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Solution

The fourth proportional to 296,822.30, 445,276.65 and 97,094.30 is: 145,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,822.30 : 445,276.65 = 97,094.30 : x
  2. Step 2: Convert to fraction form
    296,822.30/445,276.65 = 97,094.30/x
  3. Step 3: Cross multiply
    296,822.30x = 445,276.65 × 97,094.30
  4. Step 4: Simplify right side
    296,822.30x = 43,233,824,638.10
  5. Step 5: Solve for x
    x = 43,233,824,638.10/296,822.30
  6. Step 6: Final answer
    x = 145,655.58

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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.