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Finding the Fourth Proportional to 402,170.85, 554,997.02 and 218,409.93

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Solution

The fourth proportional to 402,170.85, 554,997.02 and 218,409.93 is: 301,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,170.85 : 554,997.02 = 218,409.93 : x
  2. Step 2: Convert to fraction form
    402,170.85/554,997.02 = 218,409.93/x
  3. Step 3: Cross multiply
    402,170.85x = 554,997.02 × 218,409.93
  4. Step 4: Simplify right side
    402,170.85x = 121,216,859,196.36
  5. Step 5: Solve for x
    x = 121,216,859,196.36/402,170.85
  6. Step 6: Final answer
    x = 301,406.38

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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.