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Finding the Fourth Proportional to 474,235.34, 711,349.14 and 193,555.76

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Solution

The fourth proportional to 474,235.34, 711,349.14 and 193,555.76 is: 290,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,235.34 : 711,349.14 = 193,555.76 : x
  2. Step 2: Convert to fraction form
    474,235.34/711,349.14 = 193,555.76/x
  3. Step 3: Cross multiply
    474,235.34x = 711,349.14 × 193,555.76
  4. Step 4: Simplify right side
    474,235.34x = 137,685,723,418.05
  5. Step 5: Solve for x
    x = 137,685,723,418.05/474,235.34
  6. Step 6: Final answer
    x = 290,332.06

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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.