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Finding the Fourth Proportional to 367,742.78, 506,311.90 and 313,811.36

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Solution

The fourth proportional to 367,742.78, 506,311.90 and 313,811.36 is: 432,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,742.78 : 506,311.90 = 313,811.36 : x
  2. Step 2: Convert to fraction form
    367,742.78/506,311.90 = 313,811.36/x
  3. Step 3: Cross multiply
    367,742.78x = 506,311.90 × 313,811.36
  4. Step 4: Simplify right side
    367,742.78x = 158,886,425,923.18
  5. Step 5: Solve for x
    x = 158,886,425,923.18/367,742.78
  6. Step 6: Final answer
    x = 432,058.59

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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.