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Finding the Fourth Proportional to 310,544.50, 428,876.70 and 213,999.39

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Solution

The fourth proportional to 310,544.50, 428,876.70 and 213,999.39 is: 295,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,544.50 : 428,876.70 = 213,999.39 : x
  2. Step 2: Convert to fraction form
    310,544.50/428,876.70 = 213,999.39/x
  3. Step 3: Cross multiply
    310,544.50x = 428,876.70 × 213,999.39
  4. Step 4: Simplify right side
    310,544.50x = 91,779,352,185.21
  5. Step 5: Solve for x
    x = 91,779,352,185.21/310,544.50
  6. Step 6: Final answer
    x = 295,543.32

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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.