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Finding the Fourth Proportional to 364,564.65, 503,061.03 and 201,218.15

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Solution

The fourth proportional to 364,564.65, 503,061.03 and 201,218.15 is: 277,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,564.65 : 503,061.03 = 201,218.15 : x
  2. Step 2: Convert to fraction form
    364,564.65/503,061.03 = 201,218.15/x
  3. Step 3: Cross multiply
    364,564.65x = 503,061.03 × 201,218.15
  4. Step 4: Simplify right side
    364,564.65x = 101,225,009,636.49
  5. Step 5: Solve for x
    x = 101,225,009,636.49/364,564.65
  6. Step 6: Final answer
    x = 277,659.97

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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.