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Finding the Fourth Proportional to 301,359.50, 415,895.56 and 167,223.50

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Solution

The fourth proportional to 301,359.50, 415,895.56 and 167,223.50 is: 230,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,359.50 : 415,895.56 = 167,223.50 : x
  2. Step 2: Convert to fraction form
    301,359.50/415,895.56 = 167,223.50/x
  3. Step 3: Cross multiply
    301,359.50x = 415,895.56 × 167,223.50
  4. Step 4: Simplify right side
    301,359.50x = 69,547,511,177.66
  5. Step 5: Solve for x
    x = 69,547,511,177.66/301,359.50
  6. Step 6: Final answer
    x = 230,779.22

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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.