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Finding the Fourth Proportional to 499,091.36, 688,816.32 and 317,745.36

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Solution

The fourth proportional to 499,091.36, 688,816.32 and 317,745.36 is: 438,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,091.36 : 688,816.32 = 317,745.36 : x
  2. Step 2: Convert to fraction form
    499,091.36/688,816.32 = 317,745.36/x
  3. Step 3: Cross multiply
    499,091.36x = 688,816.32 × 317,745.36
  4. Step 4: Simplify right side
    499,091.36x = 218,868,189,572.28
  5. Step 5: Solve for x
    x = 218,868,189,572.28/499,091.36
  6. Step 6: Final answer
    x = 438,533.32

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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.