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Finding the Fourth Proportional to 556,509.26, 834,798.81 and 157,181.30

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Solution

The fourth proportional to 556,509.26, 834,798.81 and 157,181.30 is: 235,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,509.26 : 834,798.81 = 157,181.30 : x
  2. Step 2: Convert to fraction form
    556,509.26/834,798.81 = 157,181.30/x
  3. Step 3: Cross multiply
    556,509.26x = 834,798.81 × 157,181.30
  4. Step 4: Simplify right side
    556,509.26x = 131,214,762,194.25
  5. Step 5: Solve for x
    x = 131,214,762,194.25/556,509.26
  6. Step 6: Final answer
    x = 235,781.81

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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.