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Finding the Fourth Proportional to 291,221.17, 402,009.21 and 195,783.24

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Solution

The fourth proportional to 291,221.17, 402,009.21 and 195,783.24 is: 270,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,221.17 : 402,009.21 = 195,783.24 : x
  2. Step 2: Convert to fraction form
    291,221.17/402,009.21 = 195,783.24/x
  3. Step 3: Cross multiply
    291,221.17x = 402,009.21 × 195,783.24
  4. Step 4: Simplify right side
    291,221.17x = 78,706,665,643.64
  5. Step 5: Solve for x
    x = 78,706,665,643.64/291,221.17
  6. Step 6: Final answer
    x = 270,264.23

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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.