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Finding the Fourth Proportional to 416,981.38, 575,435.28 and 225,994.72

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Solution

The fourth proportional to 416,981.38, 575,435.28 and 225,994.72 is: 311,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,981.38 : 575,435.28 = 225,994.72 : x
  2. Step 2: Convert to fraction form
    416,981.38/575,435.28 = 225,994.72/x
  3. Step 3: Cross multiply
    416,981.38x = 575,435.28 × 225,994.72
  4. Step 4: Simplify right side
    416,981.38x = 130,045,334,981.72
  5. Step 5: Solve for x
    x = 130,045,334,981.72/416,981.38
  6. Step 6: Final answer
    x = 311,873.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.