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Finding the Fourth Proportional to 416,220.34, 623,955.84 and 149,793.52

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Solution

The fourth proportional to 416,220.34, 623,955.84 and 149,793.52 is: 224,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,220.34 : 623,955.84 = 149,793.52 : x
  2. Step 2: Convert to fraction form
    416,220.34/623,955.84 = 149,793.52/x
  3. Step 3: Cross multiply
    416,220.34x = 623,955.84 × 149,793.52
  4. Step 4: Simplify right side
    416,220.34x = 93,464,541,598.16
  5. Step 5: Solve for x
    x = 93,464,541,598.16/416,220.34
  6. Step 6: Final answer
    x = 224,555.44

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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.