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Finding the Fourth Proportional to 417,734.16, 626,703.30 and 133,424.77

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Solution

The fourth proportional to 417,734.16, 626,703.30 and 133,424.77 is: 200,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,734.16 : 626,703.30 = 133,424.77 : x
  2. Step 2: Convert to fraction form
    417,734.16/626,703.30 = 133,424.77/x
  3. Step 3: Cross multiply
    417,734.16x = 626,703.30 × 133,424.77
  4. Step 4: Simplify right side
    417,734.16x = 83,617,742,093.98
  5. Step 5: Solve for x
    x = 83,617,742,093.98/417,734.16
  6. Step 6: Final answer
    x = 200,169.75

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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.