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Finding the Fourth Proportional to 306,644.18, 460,060.46 and 156,989.54

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Solution

The fourth proportional to 306,644.18, 460,060.46 and 156,989.54 is: 235,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,644.18 : 460,060.46 = 156,989.54 : x
  2. Step 2: Convert to fraction form
    306,644.18/460,060.46 = 156,989.54/x
  3. Step 3: Cross multiply
    306,644.18x = 460,060.46 × 156,989.54
  4. Step 4: Simplify right side
    306,644.18x = 72,224,680,941.50
  5. Step 5: Solve for x
    x = 72,224,680,941.50/306,644.18
  6. Step 6: Final answer
    x = 235,532.53

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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.