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Finding the Fourth Proportional to 322,564.60, 452,057 and 322,564.60

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Solution

The fourth proportional to 322,564.60, 452,057 and 322,564.60 is: 452,057

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,564.60 : 452,057 = 322,564.60 : x
  2. Step 2: Convert to fraction form
    322,564.60/452,057 = 322,564.60/x
  3. Step 3: Cross multiply
    322,564.60x = 452,057 × 322,564.60
  4. Step 4: Simplify right side
    322,564.60x = 145,817,585,382.20
  5. Step 5: Solve for x
    x = 145,817,585,382.20/322,564.60
  6. Step 6: Final answer
    x = 452,057

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.