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Finding the Fourth Proportional to 314,933.60, 472,400.40 and 277,535.90

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Solution

The fourth proportional to 314,933.60, 472,400.40 and 277,535.90 is: 416,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,933.60 : 472,400.40 = 277,535.90 : x
  2. Step 2: Convert to fraction form
    314,933.60/472,400.40 = 277,535.90/x
  3. Step 3: Cross multiply
    314,933.60x = 472,400.40 × 277,535.90
  4. Step 4: Simplify right side
    314,933.60x = 131,108,070,174.36
  5. Step 5: Solve for x
    x = 131,108,070,174.36/314,933.60
  6. Step 6: Final answer
    x = 416,303.85

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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.