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Finding the Fourth Proportional to 597,987.78, 825,293.16 and 339,903.51

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Solution

The fourth proportional to 597,987.78, 825,293.16 and 339,903.51 is: 469,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,987.78 : 825,293.16 = 339,903.51 : x
  2. Step 2: Convert to fraction form
    597,987.78/825,293.16 = 339,903.51/x
  3. Step 3: Cross multiply
    597,987.78x = 825,293.16 × 339,903.51
  4. Step 4: Simplify right side
    597,987.78x = 280,520,041,862.99
  5. Step 5: Solve for x
    x = 280,520,041,862.99/597,987.78
  6. Step 6: Final answer
    x = 469,106.65

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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.