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Finding the Fourth Proportional to 291,918.38, 402,847.40 and 157,782.38

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Solution

The fourth proportional to 291,918.38, 402,847.40 and 157,782.38 is: 217,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,918.38 : 402,847.40 = 157,782.38 : x
  2. Step 2: Convert to fraction form
    291,918.38/402,847.40 = 157,782.38/x
  3. Step 3: Cross multiply
    291,918.38x = 402,847.40 × 157,782.38
  4. Step 4: Simplify right side
    291,918.38x = 63,562,219,929.03
  5. Step 5: Solve for x
    x = 63,562,219,929.03/291,918.38
  6. Step 6: Final answer
    x = 217,739.70

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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.