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Finding the Fourth Proportional to 741,240, 1,023,021 and 469,333.17

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Solution

The fourth proportional to 741,240, 1,023,021 and 469,333.17 is: 647,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,240 : 1,023,021 = 469,333.17 : x
  2. Step 2: Convert to fraction form
    741,240/1,023,021 = 469,333.17/x
  3. Step 3: Cross multiply
    741,240x = 1,023,021 × 469,333.17
  4. Step 4: Simplify right side
    741,240x = 480,137,688,906.57
  5. Step 5: Solve for x
    x = 480,137,688,906.57/741,240
  6. Step 6: Final answer
    x = 647,749.30

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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.