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Finding the Fourth Proportional to 295,965.94, 408,434.76 and 159,999.60

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Solution

The fourth proportional to 295,965.94, 408,434.76 and 159,999.60 is: 220,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,965.94 : 408,434.76 = 159,999.60 : x
  2. Step 2: Convert to fraction form
    295,965.94/408,434.76 = 159,999.60/x
  3. Step 3: Cross multiply
    295,965.94x = 408,434.76 × 159,999.60
  4. Step 4: Simplify right side
    295,965.94x = 65,349,398,226.10
  5. Step 5: Solve for x
    x = 65,349,398,226.10/295,965.94
  6. Step 6: Final answer
    x = 220,800.40

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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.