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Finding the Fourth Proportional to 516,829.80, 773,713.80 and 384,297.60

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Solution

The fourth proportional to 516,829.80, 773,713.80 and 384,297.60 is: 575,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,829.80 : 773,713.80 = 384,297.60 : x
  2. Step 2: Convert to fraction form
    516,829.80/773,713.80 = 384,297.60/x
  3. Step 3: Cross multiply
    516,829.80x = 773,713.80 × 384,297.60
  4. Step 4: Simplify right side
    516,829.80x = 297,336,356,426.88
  5. Step 5: Solve for x
    x = 297,336,356,426.88/516,829.80
  6. Step 6: Final answer
    x = 575,308.07

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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.