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Finding the Fourth Proportional to 314,082.78, 433,400.52 and 185,011.14

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Solution

The fourth proportional to 314,082.78, 433,400.52 and 185,011.14 is: 255,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,082.78 : 433,400.52 = 185,011.14 : x
  2. Step 2: Convert to fraction form
    314,082.78/433,400.52 = 185,011.14/x
  3. Step 3: Cross multiply
    314,082.78x = 433,400.52 × 185,011.14
  4. Step 4: Simplify right side
    314,082.78x = 80,183,924,281.79
  5. Step 5: Solve for x
    x = 80,183,924,281.79/314,082.78
  6. Step 6: Final answer
    x = 255,295.51

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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.