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Finding the Fourth Proportional to 474,141.60, 711,212.40 and 314,709.30

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Solution

The fourth proportional to 474,141.60, 711,212.40 and 314,709.30 is: 472,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,141.60 : 711,212.40 = 314,709.30 : x
  2. Step 2: Convert to fraction form
    474,141.60/711,212.40 = 314,709.30/x
  3. Step 3: Cross multiply
    474,141.60x = 711,212.40 × 314,709.30
  4. Step 4: Simplify right side
    474,141.60x = 223,825,156,555.32
  5. Step 5: Solve for x
    x = 223,825,156,555.32/474,141.60
  6. Step 6: Final answer
    x = 472,063.95

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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.