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Finding the Fourth Proportional to 296,938.40, 445,461.60 and 97,203.20

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Solution

The fourth proportional to 296,938.40, 445,461.60 and 97,203.20 is: 145,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,938.40 : 445,461.60 = 97,203.20 : x
  2. Step 2: Convert to fraction form
    296,938.40/445,461.60 = 97,203.20/x
  3. Step 3: Cross multiply
    296,938.40x = 445,461.60 × 97,203.20
  4. Step 4: Simplify right side
    296,938.40x = 43,300,292,997.12
  5. Step 5: Solve for x
    x = 43,300,292,997.12/296,938.40
  6. Step 6: Final answer
    x = 145,822.48

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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.