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Finding the Fourth Proportional to 516,722.76, 774,933.48 and 201,104.64

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Solution

The fourth proportional to 516,722.76, 774,933.48 and 201,104.64 is: 301,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,722.76 : 774,933.48 = 201,104.64 : x
  2. Step 2: Convert to fraction form
    516,722.76/774,933.48 = 201,104.64/x
  3. Step 3: Cross multiply
    516,722.76x = 774,933.48 × 201,104.64
  4. Step 4: Simplify right side
    516,722.76x = 155,842,718,519.35
  5. Step 5: Solve for x
    x = 155,842,718,519.35/516,722.76
  6. Step 6: Final answer
    x = 301,598.32

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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.