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Finding the Fourth Proportional to 310,271, 465,433.30 and 85,631.47

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Solution

The fourth proportional to 310,271, 465,433.30 and 85,631.47 is: 128,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,271 : 465,433.30 = 85,631.47 : x
  2. Step 2: Convert to fraction form
    310,271/465,433.30 = 85,631.47/x
  3. Step 3: Cross multiply
    310,271x = 465,433.30 × 85,631.47
  4. Step 4: Simplify right side
    310,271x = 39,855,737,665.95
  5. Step 5: Solve for x
    x = 39,855,737,665.95/310,271
  6. Step 6: Final answer
    x = 128,454.60

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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.