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Finding the Fourth Proportional to 400,807.52, 601,069.47 and 116,438.91

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Solution

The fourth proportional to 400,807.52, 601,069.47 and 116,438.91 is: 174,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,807.52 : 601,069.47 = 116,438.91 : x
  2. Step 2: Convert to fraction form
    400,807.52/601,069.47 = 116,438.91/x
  3. Step 3: Cross multiply
    400,807.52x = 601,069.47 × 116,438.91
  4. Step 4: Simplify right side
    400,807.52x = 69,987,871,230.42
  5. Step 5: Solve for x
    x = 69,987,871,230.42/400,807.52
  6. Step 6: Final answer
    x = 174,617.16

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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.