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Finding the Fourth Proportional to 341,248, 470,892.72 and 220,394.56

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Solution

The fourth proportional to 341,248, 470,892.72 and 220,394.56 is: 304,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,248 : 470,892.72 = 220,394.56 : x
  2. Step 2: Convert to fraction form
    341,248/470,892.72 = 220,394.56/x
  3. Step 3: Cross multiply
    341,248x = 470,892.72 × 220,394.56
  4. Step 4: Simplify right side
    341,248x = 103,782,193,831.60
  5. Step 5: Solve for x
    x = 103,782,193,831.60/341,248
  6. Step 6: Final answer
    x = 304,125.43

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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.