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Finding the Fourth Proportional to 416,262.26, 624,010.64 and 149,957.64

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Solution

The fourth proportional to 416,262.26, 624,010.64 and 149,957.64 is: 224,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,262.26 : 624,010.64 = 149,957.64 : x
  2. Step 2: Convert to fraction form
    416,262.26/624,010.64 = 149,957.64/x
  3. Step 3: Cross multiply
    416,262.26x = 624,010.64 × 149,957.64
  4. Step 4: Simplify right side
    416,262.26x = 93,575,162,159.50
  5. Step 5: Solve for x
    x = 93,575,162,159.50/416,262.26
  6. Step 6: Final answer
    x = 224,798.58

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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.