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Finding the Fourth Proportional to 582,088, 873,132.20 and 261,865.80

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Solution

The fourth proportional to 582,088, 873,132.20 and 261,865.80 is: 392,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,088 : 873,132.20 = 261,865.80 : x
  2. Step 2: Convert to fraction form
    582,088/873,132.20 = 261,865.80/x
  3. Step 3: Cross multiply
    582,088x = 873,132.20 × 261,865.80
  4. Step 4: Simplify right side
    582,088x = 228,643,462,058.76
  5. Step 5: Solve for x
    x = 228,643,462,058.76/582,088
  6. Step 6: Final answer
    x = 392,798.79

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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.