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Finding the Fourth Proportional to 401,859.07, 602,893.64 and 233,217.28

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Solution

The fourth proportional to 401,859.07, 602,893.64 and 233,217.28 is: 349,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,859.07 : 602,893.64 = 233,217.28 : x
  2. Step 2: Convert to fraction form
    401,859.07/602,893.64 = 233,217.28/x
  3. Step 3: Cross multiply
    401,859.07x = 602,893.64 × 233,217.28
  4. Step 4: Simplify right side
    401,859.07x = 140,605,213,051.34
  5. Step 5: Solve for x
    x = 140,605,213,051.34/401,859.07
  6. Step 6: Final answer
    x = 349,886.87

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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.