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Finding the Fourth Proportional to 651,663.60, 977,648.40 and 202,361.28

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Solution

The fourth proportional to 651,663.60, 977,648.40 and 202,361.28 is: 303,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,663.60 : 977,648.40 = 202,361.28 : x
  2. Step 2: Convert to fraction form
    651,663.60/977,648.40 = 202,361.28/x
  3. Step 3: Cross multiply
    651,663.60x = 977,648.40 × 202,361.28
  4. Step 4: Simplify right side
    651,663.60x = 197,838,181,613.95
  5. Step 5: Solve for x
    x = 197,838,181,613.95/651,663.60
  6. Step 6: Final answer
    x = 303,589.43

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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.