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Finding the Fourth Proportional to 472,803.38, 652,467.24 and 257,941.92

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Solution

The fourth proportional to 472,803.38, 652,467.24 and 257,941.92 is: 355,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,803.38 : 652,467.24 = 257,941.92 : x
  2. Step 2: Convert to fraction form
    472,803.38/652,467.24 = 257,941.92/x
  3. Step 3: Cross multiply
    472,803.38x = 652,467.24 × 257,941.92
  4. Step 4: Simplify right side
    472,803.38x = 168,298,652,622.70
  5. Step 5: Solve for x
    x = 168,298,652,622.70/472,803.38
  6. Step 6: Final answer
    x = 355,959.07

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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.