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Finding the Fourth Proportional to 231,851.40, 347,777.10 and 65,639.40

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Solution

The fourth proportional to 231,851.40, 347,777.10 and 65,639.40 is: 98,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,851.40 : 347,777.10 = 65,639.40 : x
  2. Step 2: Convert to fraction form
    231,851.40/347,777.10 = 65,639.40/x
  3. Step 3: Cross multiply
    231,851.40x = 347,777.10 × 65,639.40
  4. Step 4: Simplify right side
    231,851.40x = 22,827,880,177.74
  5. Step 5: Solve for x
    x = 22,827,880,177.74/231,851.40
  6. Step 6: Final answer
    x = 98,459.10

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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.