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Finding the Fourth Proportional to 401,466.40, 602,199.84 and 101,969.44

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Solution

The fourth proportional to 401,466.40, 602,199.84 and 101,969.44 is: 152,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,466.40 : 602,199.84 = 101,969.44 : x
  2. Step 2: Convert to fraction form
    401,466.40/602,199.84 = 101,969.44/x
  3. Step 3: Cross multiply
    401,466.40x = 602,199.84 × 101,969.44
  4. Step 4: Simplify right side
    401,466.40x = 61,405,980,452.89
  5. Step 5: Solve for x
    x = 61,405,980,452.89/401,466.40
  6. Step 6: Final answer
    x = 152,954.22

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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.