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Finding the Fourth Proportional to 401,747.16, 602,866.74 and 161,817.06

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Solution

The fourth proportional to 401,747.16, 602,866.74 and 161,817.06 is: 242,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,747.16 : 602,866.74 = 161,817.06 : x
  2. Step 2: Convert to fraction form
    401,747.16/602,866.74 = 161,817.06/x
  3. Step 3: Cross multiply
    401,747.16x = 602,866.74 × 161,817.06
  4. Step 4: Simplify right side
    401,747.16x = 97,554,123,438.58
  5. Step 5: Solve for x
    x = 97,554,123,438.58/401,747.16
  6. Step 6: Final answer
    x = 242,824.67

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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.