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Finding the Fourth Proportional to 291,941.64, 402,879.29 and 157,805.64

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Solution

The fourth proportional to 291,941.64, 402,879.29 and 157,805.64 is: 217,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,941.64 : 402,879.29 = 157,805.64 : x
  2. Step 2: Convert to fraction form
    291,941.64/402,879.29 = 157,805.64/x
  3. Step 3: Cross multiply
    291,941.64x = 402,879.29 × 157,805.64
  4. Step 4: Simplify right side
    291,941.64x = 63,576,623,412.17
  5. Step 5: Solve for x
    x = 63,576,623,412.17/291,941.64
  6. Step 6: Final answer
    x = 217,771.69

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1.5x scale

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.