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Finding the Fourth Proportional to 472,847.54, 652,528.64 and 257,987.48

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Solution

The fourth proportional to 472,847.54, 652,528.64 and 257,987.48 is: 356,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,847.54 : 652,528.64 = 257,987.48 : x
  2. Step 2: Convert to fraction form
    472,847.54/652,528.64 = 257,987.48/x
  3. Step 3: Cross multiply
    472,847.54x = 652,528.64 × 257,987.48
  4. Step 4: Simplify right side
    472,847.54x = 168,344,216,843.75
  5. Step 5: Solve for x
    x = 168,344,216,843.75/472,847.54
  6. Step 6: Final answer
    x = 356,022.19

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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.