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Finding the Fourth Proportional to 782,029, 1,079,200.02 and 424,333

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Solution

The fourth proportional to 782,029, 1,079,200.02 and 424,333 is: 585,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,029 : 1,079,200.02 = 424,333 : x
  2. Step 2: Convert to fraction form
    782,029/1,079,200.02 = 424,333/x
  3. Step 3: Cross multiply
    782,029x = 1,079,200.02 × 424,333
  4. Step 4: Simplify right side
    782,029x = 457,940,182,086.66
  5. Step 5: Solve for x
    x = 457,940,182,086.66/782,029
  6. Step 6: Final answer
    x = 585,579.54

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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.