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Finding the Fourth Proportional to 472,794.24, 652,443.12 and 257,934.24

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Solution

The fourth proportional to 472,794.24, 652,443.12 and 257,934.24 is: 355,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,794.24 : 652,443.12 = 257,934.24 : x
  2. Step 2: Convert to fraction form
    472,794.24/652,443.12 = 257,934.24/x
  3. Step 3: Cross multiply
    472,794.24x = 652,443.12 × 257,934.24
  4. Step 4: Simplify right side
    472,794.24x = 168,287,420,300.43
  5. Step 5: Solve for x
    x = 168,287,420,300.43/472,794.24
  6. Step 6: Final answer
    x = 355,942.20

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1.5x scale

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.