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Finding the Fourth Proportional to 375,345.60, 563,114.40 and 264,753.60

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Solution

The fourth proportional to 375,345.60, 563,114.40 and 264,753.60 is: 397,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,345.60 : 563,114.40 = 264,753.60 : x
  2. Step 2: Convert to fraction form
    375,345.60/563,114.40 = 264,753.60/x
  3. Step 3: Cross multiply
    375,345.60x = 563,114.40 × 264,753.60
  4. Step 4: Simplify right side
    375,345.60x = 149,086,564,611.84
  5. Step 5: Solve for x
    x = 149,086,564,611.84/375,345.60
  6. Step 6: Final answer
    x = 397,198.11

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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.