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Finding the Fourth Proportional to 564,960, 779,713.92 and 326,496

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Solution

The fourth proportional to 564,960, 779,713.92 and 326,496 is: 450,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,960 : 779,713.92 = 326,496 : x
  2. Step 2: Convert to fraction form
    564,960/779,713.92 = 326,496/x
  3. Step 3: Cross multiply
    564,960x = 779,713.92 × 326,496
  4. Step 4: Simplify right side
    564,960x = 254,573,476,024.32
  5. Step 5: Solve for x
    x = 254,573,476,024.32/564,960
  6. Step 6: Final answer
    x = 450,604.43

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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.