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Finding the Fourth Proportional to 375,056.76, 517,578.90 and 205,301.64

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Solution

The fourth proportional to 375,056.76, 517,578.90 and 205,301.64 is: 283,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,056.76 : 517,578.90 = 205,301.64 : x
  2. Step 2: Convert to fraction form
    375,056.76/517,578.90 = 205,301.64/x
  3. Step 3: Cross multiply
    375,056.76x = 517,578.90 × 205,301.64
  4. Step 4: Simplify right side
    375,056.76x = 106,259,796,999.40
  5. Step 5: Solve for x
    x = 106,259,796,999.40/375,056.76
  6. Step 6: Final answer
    x = 283,316.58

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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.