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Finding the Fourth Proportional to 333,833.88, 460,422.66 and 293,461.80

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Solution

The fourth proportional to 333,833.88, 460,422.66 and 293,461.80 is: 404,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,833.88 : 460,422.66 = 293,461.80 : x
  2. Step 2: Convert to fraction form
    333,833.88/460,422.66 = 293,461.80/x
  3. Step 3: Cross multiply
    333,833.88x = 460,422.66 × 293,461.80
  4. Step 4: Simplify right side
    333,833.88x = 135,116,462,564.39
  5. Step 5: Solve for x
    x = 135,116,462,564.39/333,833.88
  6. Step 6: Final answer
    x = 404,741.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.