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Finding the Fourth Proportional to 564,297.96, 778,731 and 322,585.68

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Solution

The fourth proportional to 564,297.96, 778,731 and 322,585.68 is: 445,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,297.96 : 778,731 = 322,585.68 : x
  2. Step 2: Convert to fraction form
    564,297.96/778,731 = 322,585.68/x
  3. Step 3: Cross multiply
    564,297.96x = 778,731 × 322,585.68
  4. Step 4: Simplify right side
    564,297.96x = 251,207,469,172.08
  5. Step 5: Solve for x
    x = 251,207,469,172.08/564,297.96
  6. Step 6: Final answer
    x = 445,168.13

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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.