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Finding the Fourth Proportional to 575,644.36, 862,943.82 and 201,463.24

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Solution

The fourth proportional to 575,644.36, 862,943.82 and 201,463.24 is: 302,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,644.36 : 862,943.82 = 201,463.24 : x
  2. Step 2: Convert to fraction form
    575,644.36/862,943.82 = 201,463.24/x
  3. Step 3: Cross multiply
    575,644.36x = 862,943.82 × 201,463.24
  4. Step 4: Simplify right side
    575,644.36x = 173,851,457,915.18
  5. Step 5: Solve for x
    x = 173,851,457,915.18/575,644.36
  6. Step 6: Final answer
    x = 302,011.92

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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.