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Finding the Fourth Proportional to 401,098.06, 601,648.13 and 101,578.68

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Solution

The fourth proportional to 401,098.06, 601,648.13 and 101,578.68 is: 152,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,098.06 : 601,648.13 = 101,578.68 : x
  2. Step 2: Convert to fraction form
    401,098.06/601,648.13 = 101,578.68/x
  3. Step 3: Cross multiply
    401,098.06x = 601,648.13 × 101,578.68
  4. Step 4: Simplify right side
    401,098.06x = 61,114,622,869.87
  5. Step 5: Solve for x
    x = 61,114,622,869.87/401,098.06
  6. Step 6: Final answer
    x = 152,368.28

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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.