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Finding the Fourth Proportional to 361,349.53, 498,655.88 and 200,201.34

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Solution

The fourth proportional to 361,349.53, 498,655.88 and 200,201.34 is: 276,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,349.53 : 498,655.88 = 200,201.34 : x
  2. Step 2: Convert to fraction form
    361,349.53/498,655.88 = 200,201.34/x
  3. Step 3: Cross multiply
    361,349.53x = 498,655.88 × 200,201.34
  4. Step 4: Simplify right side
    361,349.53x = 99,831,575,374.88
  5. Step 5: Solve for x
    x = 99,831,575,374.88/361,349.53
  6. Step 6: Final answer
    x = 276,274.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.