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Finding the Fourth Proportional to 347,277.10, 520,040.85 and 277,293.10

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Solution

The fourth proportional to 347,277.10, 520,040.85 and 277,293.10 is: 415,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,277.10 : 520,040.85 = 277,293.10 : x
  2. Step 2: Convert to fraction form
    347,277.10/520,040.85 = 277,293.10/x
  3. Step 3: Cross multiply
    347,277.10x = 520,040.85 × 277,293.10
  4. Step 4: Simplify right side
    347,277.10x = 144,203,739,423.14
  5. Step 5: Solve for x
    x = 144,203,739,423.14/347,277.10
  6. Step 6: Final answer
    x = 415,241.14

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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.