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Finding the Fourth Proportional to 474,415.20, 711,623.52 and 119,429.28

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Solution

The fourth proportional to 474,415.20, 711,623.52 and 119,429.28 is: 179,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,415.20 : 711,623.52 = 119,429.28 : x
  2. Step 2: Convert to fraction form
    474,415.20/711,623.52 = 119,429.28/x
  3. Step 3: Cross multiply
    474,415.20x = 711,623.52 × 119,429.28
  4. Step 4: Simplify right side
    474,415.20x = 84,988,684,624.67
  5. Step 5: Solve for x
    x = 84,988,684,624.67/474,415.20
  6. Step 6: Final answer
    x = 179,144.10

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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.