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Finding the Fourth Proportional to 357,496.94, 493,349.85 and 196,355.75

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Solution

The fourth proportional to 357,496.94, 493,349.85 and 196,355.75 is: 270,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,496.94 : 493,349.85 = 196,355.75 : x
  2. Step 2: Convert to fraction form
    357,496.94/493,349.85 = 196,355.75/x
  3. Step 3: Cross multiply
    357,496.94x = 493,349.85 × 196,355.75
  4. Step 4: Simplify right side
    357,496.94x = 96,872,077,342.39
  5. Step 5: Solve for x
    x = 96,872,077,342.39/357,496.94
  6. Step 6: Final answer
    x = 270,973.16

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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.