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Finding the Fourth Proportional to 347,282.60, 520,049.10 and 277,298.60

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Solution

The fourth proportional to 347,282.60, 520,049.10 and 277,298.60 is: 415,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,282.60 : 520,049.10 = 277,298.60 : x
  2. Step 2: Convert to fraction form
    347,282.60/520,049.10 = 277,298.60/x
  3. Step 3: Cross multiply
    347,282.60x = 520,049.10 × 277,298.60
  4. Step 4: Simplify right side
    347,282.60x = 144,208,887,361.26
  5. Step 5: Solve for x
    x = 144,208,887,361.26/347,282.60
  6. Step 6: Final answer
    x = 415,249.39

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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.