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Finding the Fourth Proportional to 310,027, 464,922.42 and 183,702.88

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Solution

The fourth proportional to 310,027, 464,922.42 and 183,702.88 is: 275,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,027 : 464,922.42 = 183,702.88 : x
  2. Step 2: Convert to fraction form
    310,027/464,922.42 = 183,702.88/x
  3. Step 3: Cross multiply
    310,027x = 464,922.42 × 183,702.88
  4. Step 4: Simplify right side
    310,027x = 85,407,587,530.57
  5. Step 5: Solve for x
    x = 85,407,587,530.57/310,027
  6. Step 6: Final answer
    x = 275,484.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.