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Finding the Fourth Proportional to 401,102.71, 601,522.83 and 187,804.60

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Solution

The fourth proportional to 401,102.71, 601,522.83 and 187,804.60 is: 281,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,102.71 : 601,522.83 = 187,804.60 : x
  2. Step 2: Convert to fraction form
    401,102.71/601,522.83 = 187,804.60/x
  3. Step 3: Cross multiply
    401,102.71x = 601,522.83 × 187,804.60
  4. Step 4: Simplify right side
    401,102.71x = 112,968,754,479.02
  5. Step 5: Solve for x
    x = 112,968,754,479.02/401,102.71
  6. Step 6: Final answer
    x = 281,645.45

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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.