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Finding the Fourth Proportional to 364,410.78, 502,909.40 and 201,066.49

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Solution

The fourth proportional to 364,410.78, 502,909.40 and 201,066.49 is: 277,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,410.78 : 502,909.40 = 201,066.49 : x
  2. Step 2: Convert to fraction form
    364,410.78/502,909.40 = 201,066.49/x
  3. Step 3: Cross multiply
    364,410.78x = 502,909.40 × 201,066.49
  4. Step 4: Simplify right side
    364,410.78x = 101,118,227,091.40
  5. Step 5: Solve for x
    x = 101,118,227,091.40/364,410.78
  6. Step 6: Final answer
    x = 277,484.18

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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.