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Finding the Fourth Proportional to 347,281.10, 520,046.85 and 277,297.10

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Solution

The fourth proportional to 347,281.10, 520,046.85 and 277,297.10 is: 415,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,281.10 : 520,046.85 = 277,297.10 : x
  2. Step 2: Convert to fraction form
    347,281.10/520,046.85 = 277,297.10/x
  3. Step 3: Cross multiply
    347,281.10x = 520,046.85 × 277,297.10
  4. Step 4: Simplify right side
    347,281.10x = 144,207,483,369.14
  5. Step 5: Solve for x
    x = 144,207,483,369.14/347,281.10
  6. Step 6: Final answer
    x = 415,247.14

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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.