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Finding the Fourth Proportional to 519,206.76, 778,853.88 and 164,212.92

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Solution

The fourth proportional to 519,206.76, 778,853.88 and 164,212.92 is: 246,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,206.76 : 778,853.88 = 164,212.92 : x
  2. Step 2: Convert to fraction form
    519,206.76/778,853.88 = 164,212.92/x
  3. Step 3: Cross multiply
    519,206.76x = 778,853.88 × 164,212.92
  4. Step 4: Simplify right side
    519,206.76x = 127,897,869,888.13
  5. Step 5: Solve for x
    x = 127,897,869,888.13/519,206.76
  6. Step 6: Final answer
    x = 246,333.21

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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.