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Finding the Fourth Proportional to 419,073.34, 628,703.72 and 152,833.86

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Solution

The fourth proportional to 419,073.34, 628,703.72 and 152,833.86 is: 229,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,073.34 : 628,703.72 = 152,833.86 : x
  2. Step 2: Convert to fraction form
    419,073.34/628,703.72 = 152,833.86/x
  3. Step 3: Cross multiply
    419,073.34x = 628,703.72 × 152,833.86
  4. Step 4: Simplify right side
    419,073.34x = 96,087,217,895.72
  5. Step 5: Solve for x
    x = 96,087,217,895.72/419,073.34
  6. Step 6: Final answer
    x = 229,284.97

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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.