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Finding the Fourth Proportional to 513,641.40, 770,603.82 and 214,262.76

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Solution

The fourth proportional to 513,641.40, 770,603.82 and 214,262.76 is: 321,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,641.40 : 770,603.82 = 214,262.76 : x
  2. Step 2: Convert to fraction form
    513,641.40/770,603.82 = 214,262.76/x
  3. Step 3: Cross multiply
    513,641.40x = 770,603.82 × 214,262.76
  4. Step 4: Simplify right side
    513,641.40x = 165,111,701,339.74
  5. Step 5: Solve for x
    x = 165,111,701,339.74/513,641.40
  6. Step 6: Final answer
    x = 321,453.26

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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.