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Finding the Fourth Proportional to 474,355.95, 711,621.41 and 150,225.81

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Solution

The fourth proportional to 474,355.95, 711,621.41 and 150,225.81 is: 225,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,355.95 : 711,621.41 = 150,225.81 : x
  2. Step 2: Convert to fraction form
    474,355.95/711,621.41 = 150,225.81/x
  3. Step 3: Cross multiply
    474,355.95x = 711,621.41 × 150,225.81
  4. Step 4: Simplify right side
    474,355.95x = 106,903,901,979.46
  5. Step 5: Solve for x
    x = 106,903,901,979.46/474,355.95
  6. Step 6: Final answer
    x = 225,366.42

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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.