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Finding the Fourth Proportional to 310,912, 466,372.16 and 97,672.96

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Solution

The fourth proportional to 310,912, 466,372.16 and 97,672.96 is: 146,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912 : 466,372.16 = 97,672.96 : x
  2. Step 2: Convert to fraction form
    310,912/466,372.16 = 97,672.96/x
  3. Step 3: Cross multiply
    310,912x = 466,372.16 × 97,672.96
  4. Step 4: Simplify right side
    310,912x = 45,551,949,328.79
  5. Step 5: Solve for x
    x = 45,551,949,328.79/310,912
  6. Step 6: Final answer
    x = 146,510.75

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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.