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Finding the Fourth Proportional to 314,951.54, 472,435.50 and 90,302.90

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Solution

The fourth proportional to 314,951.54, 472,435.50 and 90,302.90 is: 135,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,951.54 : 472,435.50 = 90,302.90 : x
  2. Step 2: Convert to fraction form
    314,951.54/472,435.50 = 90,302.90/x
  3. Step 3: Cross multiply
    314,951.54x = 472,435.50 × 90,302.90
  4. Step 4: Simplify right side
    314,951.54x = 42,662,293,350.77
  5. Step 5: Solve for x
    x = 42,662,293,350.77/314,951.54
  6. Step 6: Final answer
    x = 135,456.69

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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.