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Finding the Fourth Proportional to 314,980.80, 472,471.20 and 115,234.80

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Solution

The fourth proportional to 314,980.80, 472,471.20 and 115,234.80 is: 172,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980.80 : 472,471.20 = 115,234.80 : x
  2. Step 2: Convert to fraction form
    314,980.80/472,471.20 = 115,234.80/x
  3. Step 3: Cross multiply
    314,980.80x = 472,471.20 × 115,234.80
  4. Step 4: Simplify right side
    314,980.80x = 54,445,124,237.76
  5. Step 5: Solve for x
    x = 54,445,124,237.76/314,980.80
  6. Step 6: Final answer
    x = 172,852.20

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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.