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Finding the Fourth Proportional to 364,398.02, 502,871.12 and 201,060.17

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Solution

The fourth proportional to 364,398.02, 502,871.12 and 201,060.17 is: 277,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,398.02 : 502,871.12 = 201,060.17 : x
  2. Step 2: Convert to fraction form
    364,398.02/502,871.12 = 201,060.17/x
  3. Step 3: Cross multiply
    364,398.02x = 502,871.12 × 201,060.17
  4. Step 4: Simplify right side
    364,398.02x = 101,107,352,875.29
  5. Step 5: Solve for x
    x = 101,107,352,875.29/364,398.02
  6. Step 6: Final answer
    x = 277,464.06

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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.