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Finding the Fourth Proportional to 301,273.14, 415,793.80 and 173,948.52

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Solution

The fourth proportional to 301,273.14, 415,793.80 and 173,948.52 is: 240,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,273.14 : 415,793.80 = 173,948.52 : x
  2. Step 2: Convert to fraction form
    301,273.14/415,793.80 = 173,948.52/x
  3. Step 3: Cross multiply
    301,273.14x = 415,793.80 × 173,948.52
  4. Step 4: Simplify right side
    301,273.14x = 72,326,714,056.21
  5. Step 5: Solve for x
    x = 72,326,714,056.21/301,273.14
  6. Step 6: Final answer
    x = 240,070.24

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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.