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Finding the Fourth Proportional to 565,926, 781,088.84 and 324,370.48

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Solution

The fourth proportional to 565,926, 781,088.84 and 324,370.48 is: 447,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,926 : 781,088.84 = 324,370.48 : x
  2. Step 2: Convert to fraction form
    565,926/781,088.84 = 324,370.48/x
  3. Step 3: Cross multiply
    565,926x = 781,088.84 × 324,370.48
  4. Step 4: Simplify right side
    565,926x = 253,362,161,953.44
  5. Step 5: Solve for x
    x = 253,362,161,953.44/565,926
  6. Step 6: Final answer
    x = 447,694.86

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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.