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Finding the Fourth Proportional to 401,351.64, 602,060.22 and 201,569.28

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Solution

The fourth proportional to 401,351.64, 602,060.22 and 201,569.28 is: 302,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,351.64 : 602,060.22 = 201,569.28 : x
  2. Step 2: Convert to fraction form
    401,351.64/602,060.22 = 201,569.28/x
  3. Step 3: Cross multiply
    401,351.64x = 602,060.22 × 201,569.28
  4. Step 4: Simplify right side
    401,351.64x = 121,356,845,062.04
  5. Step 5: Solve for x
    x = 121,356,845,062.04/401,351.64
  6. Step 6: Final answer
    x = 302,370.37

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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.