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Finding the Fourth Proportional to 423,033.29, 634,234.35 and 254,514.13

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Solution

The fourth proportional to 423,033.29, 634,234.35 and 254,514.13 is: 381,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,033.29 : 634,234.35 = 254,514.13 : x
  2. Step 2: Convert to fraction form
    423,033.29/634,234.35 = 254,514.13/x
  3. Step 3: Cross multiply
    423,033.29x = 634,234.35 × 254,514.13
  4. Step 4: Simplify right side
    423,033.29x = 161,421,603,806.37
  5. Step 5: Solve for x
    x = 161,421,603,806.37/423,033.29
  6. Step 6: Final answer
    x = 381,581.33

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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.