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Finding the Fourth Proportional to 594,713.53, 820,705.13 and 322,781.41

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Solution

The fourth proportional to 594,713.53, 820,705.13 and 322,781.41 is: 445,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,713.53 : 820,705.13 = 322,781.41 : x
  2. Step 2: Convert to fraction form
    594,713.53/820,705.13 = 322,781.41/x
  3. Step 3: Cross multiply
    594,713.53x = 820,705.13 × 322,781.41
  4. Step 4: Simplify right side
    594,713.53x = 264,908,359,055.63
  5. Step 5: Solve for x
    x = 264,908,359,055.63/594,713.53
  6. Step 6: Final answer
    x = 445,438.59

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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.