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Finding the Fourth Proportional to 472,833.70, 709,711.35 and 236,443.30

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Solution

The fourth proportional to 472,833.70, 709,711.35 and 236,443.30 is: 354,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,833.70 : 709,711.35 = 236,443.30 : x
  2. Step 2: Convert to fraction form
    472,833.70/709,711.35 = 236,443.30/x
  3. Step 3: Cross multiply
    472,833.70x = 709,711.35 × 236,443.30
  4. Step 4: Simplify right side
    472,833.70x = 167,806,493,641.46
  5. Step 5: Solve for x
    x = 167,806,493,641.46/472,833.70
  6. Step 6: Final answer
    x = 354,895.38

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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.