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Finding the Fourth Proportional to 704,661.22, 1,057,153.29 and 305,369.02

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Solution

The fourth proportional to 704,661.22, 1,057,153.29 and 305,369.02 is: 458,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,661.22 : 1,057,153.29 = 305,369.02 : x
  2. Step 2: Convert to fraction form
    704,661.22/1,057,153.29 = 305,369.02/x
  3. Step 3: Cross multiply
    704,661.22x = 1,057,153.29 × 305,369.02
  4. Step 4: Simplify right side
    704,661.22x = 322,821,864,157.08
  5. Step 5: Solve for x
    x = 322,821,864,157.08/704,661.22
  6. Step 6: Final answer
    x = 458,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.