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Finding the Fourth Proportional to 364,084.47, 502,415.87 and 200,708.28

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Solution

The fourth proportional to 364,084.47, 502,415.87 and 200,708.28 is: 276,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,084.47 : 502,415.87 = 200,708.28 : x
  2. Step 2: Convert to fraction form
    364,084.47/502,415.87 = 200,708.28/x
  3. Step 3: Cross multiply
    364,084.47x = 502,415.87 × 200,708.28
  4. Step 4: Simplify right side
    364,084.47x = 100,839,024,108.86
  5. Step 5: Solve for x
    x = 100,839,024,108.86/364,084.47
  6. Step 6: Final answer
    x = 276,966.01

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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.