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Finding the Fourth Proportional to 348,960.16, 523,047.84 and 177,701.32

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Solution

The fourth proportional to 348,960.16, 523,047.84 and 177,701.32 is: 266,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,960.16 : 523,047.84 = 177,701.32 : x
  2. Step 2: Convert to fraction form
    348,960.16/523,047.84 = 177,701.32/x
  3. Step 3: Cross multiply
    348,960.16x = 523,047.84 × 177,701.32
  4. Step 4: Simplify right side
    348,960.16x = 92,946,291,591.15
  5. Step 5: Solve for x
    x = 92,946,291,591.15/348,960.16
  6. Step 6: Final answer
    x = 266,352.16

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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.