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Finding the Fourth Proportional to 401,394.14, 602,014.47 and 201,659.18

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Solution

The fourth proportional to 401,394.14, 602,014.47 and 201,659.18 is: 302,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,394.14 : 602,014.47 = 201,659.18 : x
  2. Step 2: Convert to fraction form
    401,394.14/602,014.47 = 201,659.18/x
  3. Step 3: Cross multiply
    401,394.14x = 602,014.47 × 201,659.18
  4. Step 4: Simplify right side
    401,394.14x = 121,401,744,368.34
  5. Step 5: Solve for x
    x = 121,401,744,368.34/401,394.14
  6. Step 6: Final answer
    x = 302,450.22

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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.