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Finding the Fourth Proportional to 305,853.30, 457,905.15 and 305,853.30

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Solution

The fourth proportional to 305,853.30, 457,905.15 and 305,853.30 is: 457,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,853.30 : 457,905.15 = 305,853.30 : x
  2. Step 2: Convert to fraction form
    305,853.30/457,905.15 = 305,853.30/x
  3. Step 3: Cross multiply
    305,853.30x = 457,905.15 × 305,853.30
  4. Step 4: Simplify right side
    305,853.30x = 140,051,801,214.50
  5. Step 5: Solve for x
    x = 140,051,801,214.50/305,853.30
  6. Step 6: Final answer
    x = 457,905.15

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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.