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Finding the Fourth Proportional to 416,268.51, 624,020.01 and 149,963.88

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Solution

The fourth proportional to 416,268.51, 624,020.01 and 149,963.88 is: 224,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,268.51 : 624,020.01 = 149,963.88 : x
  2. Step 2: Convert to fraction form
    416,268.51/624,020.01 = 149,963.88/x
  3. Step 3: Cross multiply
    416,268.51x = 624,020.01 × 149,963.88
  4. Step 4: Simplify right side
    416,268.51x = 93,580,461,897.24
  5. Step 5: Solve for x
    x = 93,580,461,897.24/416,268.51
  6. Step 6: Final answer
    x = 224,807.93

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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.