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Finding the Fourth Proportional to 523,391.02, 722,225.57 and 293,973.30

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Solution

The fourth proportional to 523,391.02, 722,225.57 and 293,973.30 is: 405,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,391.02 : 722,225.57 = 293,973.30 : x
  2. Step 2: Convert to fraction form
    523,391.02/722,225.57 = 293,973.30/x
  3. Step 3: Cross multiply
    523,391.02x = 722,225.57 × 293,973.30
  4. Step 4: Simplify right side
    523,391.02x = 212,315,032,687.42
  5. Step 5: Solve for x
    x = 212,315,032,687.42/523,391.02
  6. Step 6: Final answer
    x = 405,652.80

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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.