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Finding the Fourth Proportional to 465,946.60, 698,919.90 and 199,661.80

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Solution

The fourth proportional to 465,946.60, 698,919.90 and 199,661.80 is: 299,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,946.60 : 698,919.90 = 199,661.80 : x
  2. Step 2: Convert to fraction form
    465,946.60/698,919.90 = 199,661.80/x
  3. Step 3: Cross multiply
    465,946.60x = 698,919.90 × 199,661.80
  4. Step 4: Simplify right side
    465,946.60x = 139,547,605,289.82
  5. Step 5: Solve for x
    x = 139,547,605,289.82/465,946.60
  6. Step 6: Final answer
    x = 299,492.70

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Similar ratio
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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.