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Finding the Fourth Proportional to 333,344.16, 501,801.48 and 299,052

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Solution

The fourth proportional to 333,344.16, 501,801.48 and 299,052 is: 450,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,344.16 : 501,801.48 = 299,052 : x
  2. Step 2: Convert to fraction form
    333,344.16/501,801.48 = 299,052/x
  3. Step 3: Cross multiply
    333,344.16x = 501,801.48 × 299,052
  4. Step 4: Simplify right side
    333,344.16x = 150,064,736,196.96
  5. Step 5: Solve for x
    x = 150,064,736,196.96/333,344.16
  6. Step 6: Final answer
    x = 450,179.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.