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Finding the Fourth Proportional to 520,096.60, 780,144.90 and 165,138.40

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Solution

The fourth proportional to 520,096.60, 780,144.90 and 165,138.40 is: 247,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.60 : 780,144.90 = 165,138.40 : x
  2. Step 2: Convert to fraction form
    520,096.60/780,144.90 = 165,138.40/x
  3. Step 3: Cross multiply
    520,096.60x = 780,144.90 × 165,138.40
  4. Step 4: Simplify right side
    520,096.60x = 128,831,880,554.16
  5. Step 5: Solve for x
    x = 128,831,880,554.16/520,096.60
  6. Step 6: Final answer
    x = 247,707.60

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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.