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Finding the Fourth Proportional to 310,051.45, 464,585.10 and 204,747.40

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Solution

The fourth proportional to 310,051.45, 464,585.10 and 204,747.40 is: 306,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,051.45 : 464,585.10 = 204,747.40 : x
  2. Step 2: Convert to fraction form
    310,051.45/464,585.10 = 204,747.40/x
  3. Step 3: Cross multiply
    310,051.45x = 464,585.10 × 204,747.40
  4. Step 4: Simplify right side
    310,051.45x = 95,122,591,303.74
  5. Step 5: Solve for x
    x = 95,122,591,303.74/310,051.45
  6. Step 6: Final answer
    x = 306,796.15

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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.