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Finding the Fourth Proportional to 314,834.40, 472,208.40 and 104,450.40

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Solution

The fourth proportional to 314,834.40, 472,208.40 and 104,450.40 is: 156,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,834.40 : 472,208.40 = 104,450.40 : x
  2. Step 2: Convert to fraction form
    314,834.40/472,208.40 = 104,450.40/x
  3. Step 3: Cross multiply
    314,834.40x = 472,208.40 × 104,450.40
  4. Step 4: Simplify right side
    314,834.40x = 49,322,356,263.36
  5. Step 5: Solve for x
    x = 49,322,356,263.36/314,834.40
  6. Step 6: Final answer
    x = 156,661.27

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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.