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Finding the Fourth Proportional to 472,656.24, 652,265.21 and 257,795.64

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Solution

The fourth proportional to 472,656.24, 652,265.21 and 257,795.64 is: 355,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,656.24 : 652,265.21 = 257,795.64 : x
  2. Step 2: Convert to fraction form
    472,656.24/652,265.21 = 257,795.64/x
  3. Step 3: Cross multiply
    472,656.24x = 652,265.21 × 257,795.64
  4. Step 4: Simplify right side
    472,656.24x = 168,151,127,906.17
  5. Step 5: Solve for x
    x = 168,151,127,906.17/472,656.24
  6. Step 6: Final answer
    x = 355,757.77

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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.