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Finding the Fourth Proportional to 387,972.01, 535,401.25 and 218,206

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Solution

The fourth proportional to 387,972.01, 535,401.25 and 218,206 is: 301,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,972.01 : 535,401.25 = 218,206 : x
  2. Step 2: Convert to fraction form
    387,972.01/535,401.25 = 218,206/x
  3. Step 3: Cross multiply
    387,972.01x = 535,401.25 × 218,206
  4. Step 4: Simplify right side
    387,972.01x = 116,827,765,157.50
  5. Step 5: Solve for x
    x = 116,827,765,157.50/387,972.01
  6. Step 6: Final answer
    x = 301,124.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.