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Finding the Fourth Proportional to 417,119.16, 625,864.84 and 192,358.94

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Solution

The fourth proportional to 417,119.16, 625,864.84 and 192,358.94 is: 288,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,119.16 : 625,864.84 = 192,358.94 : x
  2. Step 2: Convert to fraction form
    417,119.16/625,864.84 = 192,358.94/x
  3. Step 3: Cross multiply
    417,119.16x = 625,864.84 × 192,358.94
  4. Step 4: Simplify right side
    417,119.16x = 120,390,698,289.43
  5. Step 5: Solve for x
    x = 120,390,698,289.43/417,119.16
  6. Step 6: Final answer
    x = 288,624.23

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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.