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Finding the Fourth Proportional to 472,643.20, 708,964.80 and 173,024.20

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Solution

The fourth proportional to 472,643.20, 708,964.80 and 173,024.20 is: 259,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,643.20 : 708,964.80 = 173,024.20 : x
  2. Step 2: Convert to fraction form
    472,643.20/708,964.80 = 173,024.20/x
  3. Step 3: Cross multiply
    472,643.20x = 708,964.80 × 173,024.20
  4. Step 4: Simplify right side
    472,643.20x = 122,668,067,348.16
  5. Step 5: Solve for x
    x = 122,668,067,348.16/472,643.20
  6. Step 6: Final answer
    x = 259,536.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.