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Finding the Fourth Proportional to 516,234, 774,380.16 and 183,810

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Solution

The fourth proportional to 516,234, 774,380.16 and 183,810 is: 275,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,234 : 774,380.16 = 183,810 : x
  2. Step 2: Convert to fraction form
    516,234/774,380.16 = 183,810/x
  3. Step 3: Cross multiply
    516,234x = 774,380.16 × 183,810
  4. Step 4: Simplify right side
    516,234x = 142,338,817,209.60
  5. Step 5: Solve for x
    x = 142,338,817,209.60/516,234
  6. Step 6: Final answer
    x = 275,725.38

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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.