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Finding the Fourth Proportional to 647,298.47, 970,946.30 and 173,983.82

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Solution

The fourth proportional to 647,298.47, 970,946.30 and 173,983.82 is: 260,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,298.47 : 970,946.30 = 173,983.82 : x
  2. Step 2: Convert to fraction form
    647,298.47/970,946.30 = 173,983.82/x
  3. Step 3: Cross multiply
    647,298.47x = 970,946.30 × 173,983.82
  4. Step 4: Simplify right side
    647,298.47x = 168,928,949,151.19
  5. Step 5: Solve for x
    x = 168,928,949,151.19/647,298.47
  6. Step 6: Final answer
    x = 260,975.36

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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.