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Finding the Fourth Proportional to 401,859.25, 602,893.93 and 233,217.46

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Solution

The fourth proportional to 401,859.25, 602,893.93 and 233,217.46 is: 349,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,859.25 : 602,893.93 = 233,217.46 : x
  2. Step 2: Convert to fraction form
    401,859.25/602,893.93 = 233,217.46/x
  3. Step 3: Cross multiply
    401,859.25x = 602,893.93 × 233,217.46
  4. Step 4: Simplify right side
    401,859.25x = 140,605,391,004.02
  5. Step 5: Solve for x
    x = 140,605,391,004.02/401,859.25
  6. Step 6: Final answer
    x = 349,887.16

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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.