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Finding the Fourth Proportional to 417,173.96, 625,389.81 and 150,875.27

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Solution

The fourth proportional to 417,173.96, 625,389.81 and 150,875.27 is: 226,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,173.96 : 625,389.81 = 150,875.27 : x
  2. Step 2: Convert to fraction form
    417,173.96/625,389.81 = 150,875.27/x
  3. Step 3: Cross multiply
    417,173.96x = 625,389.81 × 150,875.27
  4. Step 4: Simplify right side
    417,173.96x = 94,355,853,312.05
  5. Step 5: Solve for x
    x = 94,355,853,312.05/417,173.96
  6. Step 6: Final answer
    x = 226,178.68

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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.