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Finding the Fourth Proportional to 401,277.68, 601,492.14 and 148,395.68

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Solution

The fourth proportional to 401,277.68, 601,492.14 and 148,395.68 is: 222,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,277.68 : 601,492.14 = 148,395.68 : x
  2. Step 2: Convert to fraction form
    401,277.68/601,492.14 = 148,395.68/x
  3. Step 3: Cross multiply
    401,277.68x = 601,492.14 × 148,395.68
  4. Step 4: Simplify right side
    401,277.68x = 89,258,835,129.96
  5. Step 5: Solve for x
    x = 89,258,835,129.96/401,277.68
  6. Step 6: Final answer
    x = 222,436.58

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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.