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Finding the Fourth Proportional to 334,142.32, 501,462.64 and 134,464.48

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Solution

The fourth proportional to 334,142.32, 501,462.64 and 134,464.48 is: 201,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,142.32 : 501,462.64 = 134,464.48 : x
  2. Step 2: Convert to fraction form
    334,142.32/501,462.64 = 134,464.48/x
  3. Step 3: Cross multiply
    334,142.32x = 501,462.64 × 134,464.48
  4. Step 4: Simplify right side
    334,142.32x = 67,428,913,127.03
  5. Step 5: Solve for x
    x = 67,428,913,127.03/334,142.32
  6. Step 6: Final answer
    x = 201,796.99

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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.