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Finding the Fourth Proportional to 516,429.80, 712,473.54 and 380,784.78

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Solution

The fourth proportional to 516,429.80, 712,473.54 and 380,784.78 is: 525,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,429.80 : 712,473.54 = 380,784.78 : x
  2. Step 2: Convert to fraction form
    516,429.80/712,473.54 = 380,784.78/x
  3. Step 3: Cross multiply
    516,429.80x = 712,473.54 × 380,784.78
  4. Step 4: Simplify right side
    516,429.80x = 271,299,080,184.72
  5. Step 5: Solve for x
    x = 271,299,080,184.72/516,429.80
  6. Step 6: Final answer
    x = 525,335.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.