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Finding the Fourth Proportional to 287,181.86, 430,772.63 and 76,814.33

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Solution

The fourth proportional to 287,181.86, 430,772.63 and 76,814.33 is: 115,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,181.86 : 430,772.63 = 76,814.33 : x
  2. Step 2: Convert to fraction form
    287,181.86/430,772.63 = 76,814.33/x
  3. Step 3: Cross multiply
    287,181.86x = 430,772.63 × 76,814.33
  4. Step 4: Simplify right side
    287,181.86x = 33,089,508,417.85
  5. Step 5: Solve for x
    x = 33,089,508,417.85/287,181.86
  6. Step 6: Final answer
    x = 115,221.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.