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Finding the Fourth Proportional to 474,078.42, 711,118.32 and 193,595.70

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Solution

The fourth proportional to 474,078.42, 711,118.32 and 193,595.70 is: 290,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,078.42 : 711,118.32 = 193,595.70 : x
  2. Step 2: Convert to fraction form
    474,078.42/711,118.32 = 193,595.70/x
  3. Step 3: Cross multiply
    474,078.42x = 711,118.32 × 193,595.70
  4. Step 4: Simplify right side
    474,078.42x = 137,669,448,943.22
  5. Step 5: Solve for x
    x = 137,669,448,943.22/474,078.42
  6. Step 6: Final answer
    x = 290,393.83

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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.