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Finding the Fourth Proportional to 199,047.60, 298,734.60 and 197,492.40

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Solution

The fourth proportional to 199,047.60, 298,734.60 and 197,492.40 is: 296,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,047.60 : 298,734.60 = 197,492.40 : x
  2. Step 2: Convert to fraction form
    199,047.60/298,734.60 = 197,492.40/x
  3. Step 3: Cross multiply
    199,047.60x = 298,734.60 × 197,492.40
  4. Step 4: Simplify right side
    199,047.60x = 58,997,813,117.04
  5. Step 5: Solve for x
    x = 58,997,813,117.04/199,047.60
  6. Step 6: Final answer
    x = 296,400.52

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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.