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Finding the Fourth Proportional to 310,851.50, 466,289.40 and 97,764.80

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Solution

The fourth proportional to 310,851.50, 466,289.40 and 97,764.80 is: 146,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,851.50 : 466,289.40 = 97,764.80 : x
  2. Step 2: Convert to fraction form
    310,851.50/466,289.40 = 97,764.80/x
  3. Step 3: Cross multiply
    310,851.50x = 466,289.40 × 97,764.80
  4. Step 4: Simplify right side
    310,851.50x = 45,586,689,933.12
  5. Step 5: Solve for x
    x = 45,586,689,933.12/310,851.50
  6. Step 6: Final answer
    x = 146,651.02

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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.