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Finding the Fourth Proportional to 513,991.28, 709,530.36 and 386,698.16

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Solution

The fourth proportional to 513,991.28, 709,530.36 and 386,698.16 is: 533,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,991.28 : 709,530.36 = 386,698.16 : x
  2. Step 2: Convert to fraction form
    513,991.28/709,530.36 = 386,698.16/x
  3. Step 3: Cross multiply
    513,991.28x = 709,530.36 × 386,698.16
  4. Step 4: Simplify right side
    513,991.28x = 274,374,084,676.14
  5. Step 5: Solve for x
    x = 274,374,084,676.14/513,991.28
  6. Step 6: Final answer
    x = 533,810.78

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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.