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Finding the Fourth Proportional to 401,626.52, 602,441.84 and 135,389.32

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Solution

The fourth proportional to 401,626.52, 602,441.84 and 135,389.32 is: 203,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,626.52 : 602,441.84 = 135,389.32 : x
  2. Step 2: Convert to fraction form
    401,626.52/602,441.84 = 135,389.32/x
  3. Step 3: Cross multiply
    401,626.52x = 602,441.84 × 135,389.32
  4. Step 4: Simplify right side
    401,626.52x = 81,564,191,057.15
  5. Step 5: Solve for x
    x = 81,564,191,057.15/401,626.52
  6. Step 6: Final answer
    x = 203,084.67

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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.