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Finding the Fourth Proportional to 375,642.36, 563,448.96 and 150,935.40

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Solution

The fourth proportional to 375,642.36, 563,448.96 and 150,935.40 is: 226,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,642.36 : 563,448.96 = 150,935.40 : x
  2. Step 2: Convert to fraction form
    375,642.36/563,448.96 = 150,935.40/x
  3. Step 3: Cross multiply
    375,642.36x = 563,448.96 × 150,935.40
  4. Step 4: Simplify right side
    375,642.36x = 85,044,394,157.18
  5. Step 5: Solve for x
    x = 85,044,394,157.18/375,642.36
  6. Step 6: Final answer
    x = 226,397.24

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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.