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Finding the Fourth Proportional to 364,568.66, 503,066.54 and 201,222.16

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Solution

The fourth proportional to 364,568.66, 503,066.54 and 201,222.16 is: 277,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,568.66 : 503,066.54 = 201,222.16 : x
  2. Step 2: Convert to fraction form
    364,568.66/503,066.54 = 201,222.16/x
  3. Step 3: Cross multiply
    364,568.66x = 503,066.54 × 201,222.16
  4. Step 4: Simplify right side
    364,568.66x = 101,228,135,802.53
  5. Step 5: Solve for x
    x = 101,228,135,802.53/364,568.66
  6. Step 6: Final answer
    x = 277,665.49

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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.