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Finding the Fourth Proportional to 656,809.36, 985,603.14 and 277,709.36

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Solution

The fourth proportional to 656,809.36, 985,603.14 and 277,709.36 is: 416,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,809.36 : 985,603.14 = 277,709.36 : x
  2. Step 2: Convert to fraction form
    656,809.36/985,603.14 = 277,709.36/x
  3. Step 3: Cross multiply
    656,809.36x = 985,603.14 × 277,709.36
  4. Step 4: Simplify right side
    656,809.36x = 273,711,217,223.39
  5. Step 5: Solve for x
    x = 273,711,217,223.39/656,809.36
  6. Step 6: Final answer
    x = 416,728.56

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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.