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Finding the Fourth Proportional to 361,056.75, 498,266.13 and 197,720.16

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Solution

The fourth proportional to 361,056.75, 498,266.13 and 197,720.16 is: 272,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,056.75 : 498,266.13 = 197,720.16 : x
  2. Step 2: Convert to fraction form
    361,056.75/498,266.13 = 197,720.16/x
  3. Step 3: Cross multiply
    361,056.75x = 498,266.13 × 197,720.16
  4. Step 4: Simplify right side
    361,056.75x = 98,517,258,946.18
  5. Step 5: Solve for x
    x = 98,517,258,946.18/361,056.75
  6. Step 6: Final answer
    x = 272,858.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.