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Finding the Fourth Proportional to 219,348.90, 329,023.35 and 199,009.80

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Solution

The fourth proportional to 219,348.90, 329,023.35 and 199,009.80 is: 298,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,348.90 : 329,023.35 = 199,009.80 : x
  2. Step 2: Convert to fraction form
    219,348.90/329,023.35 = 199,009.80/x
  3. Step 3: Cross multiply
    219,348.90x = 329,023.35 × 199,009.80
  4. Step 4: Simplify right side
    219,348.90x = 65,478,871,078.83
  5. Step 5: Solve for x
    x = 65,478,871,078.83/219,348.90
  6. Step 6: Final answer
    x = 298,514.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.