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Finding the Fourth Proportional to 401,465.40, 602,198.34 and 101,968.44

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Solution

The fourth proportional to 401,465.40, 602,198.34 and 101,968.44 is: 152,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,465.40 : 602,198.34 = 101,968.44 : x
  2. Step 2: Convert to fraction form
    401,465.40/602,198.34 = 101,968.44/x
  3. Step 3: Cross multiply
    401,465.40x = 602,198.34 × 101,968.44
  4. Step 4: Simplify right side
    401,465.40x = 61,405,225,300.39
  5. Step 5: Solve for x
    x = 61,405,225,300.39/401,465.40
  6. Step 6: Final answer
    x = 152,952.72

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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.