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Finding the Fourth Proportional to 315,201.60, 472,802.40 and 277,803.90

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Solution

The fourth proportional to 315,201.60, 472,802.40 and 277,803.90 is: 416,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,201.60 : 472,802.40 = 277,803.90 : x
  2. Step 2: Convert to fraction form
    315,201.60/472,802.40 = 277,803.90/x
  3. Step 3: Cross multiply
    315,201.60x = 472,802.40 × 277,803.90
  4. Step 4: Simplify right side
    315,201.60x = 131,346,350,649.36
  5. Step 5: Solve for x
    x = 131,346,350,649.36/315,201.60
  6. Step 6: Final answer
    x = 416,705.85

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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.