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Finding the Fourth Proportional to 314,776.94, 472,063.34 and 104,358.38

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Solution

The fourth proportional to 314,776.94, 472,063.34 and 104,358.38 is: 156,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,776.94 : 472,063.34 = 104,358.38 : x
  2. Step 2: Convert to fraction form
    314,776.94/472,063.34 = 104,358.38/x
  3. Step 3: Cross multiply
    314,776.94x = 472,063.34 × 104,358.38
  4. Step 4: Simplify right side
    314,776.94x = 49,263,763,320.37
  5. Step 5: Solve for x
    x = 49,263,763,320.37/314,776.94
  6. Step 6: Final answer
    x = 156,503.73

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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.