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Finding the Fourth Proportional to 613,901.12, 847,314.24 and 412,580.48

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Solution

The fourth proportional to 613,901.12, 847,314.24 and 412,580.48 is: 569,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,901.12 : 847,314.24 = 412,580.48 : x
  2. Step 2: Convert to fraction form
    613,901.12/847,314.24 = 412,580.48/x
  3. Step 3: Cross multiply
    613,901.12x = 847,314.24 × 412,580.48
  4. Step 4: Simplify right side
    613,901.12x = 349,585,315,850.04
  5. Step 5: Solve for x
    x = 349,585,315,850.04/613,901.12
  6. Step 6: Final answer
    x = 569,448.90

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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.