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Finding the Fourth Proportional to 516,224, 774,365.16 and 183,800

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Solution

The fourth proportional to 516,224, 774,365.16 and 183,800 is: 275,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,224 : 774,365.16 = 183,800 : x
  2. Step 2: Convert to fraction form
    516,224/774,365.16 = 183,800/x
  3. Step 3: Cross multiply
    516,224x = 774,365.16 × 183,800
  4. Step 4: Simplify right side
    516,224x = 142,328,316,408
  5. Step 5: Solve for x
    x = 142,328,316,408/516,224
  6. Step 6: Final answer
    x = 275,710.38

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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.