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Finding the Fourth Proportional to 341,200.55, 470,704.50 and 197,877.53

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Solution

The fourth proportional to 341,200.55, 470,704.50 and 197,877.53 is: 272,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,200.55 : 470,704.50 = 197,877.53 : x
  2. Step 2: Convert to fraction form
    341,200.55/470,704.50 = 197,877.53/x
  3. Step 3: Cross multiply
    341,200.55x = 470,704.50 × 197,877.53
  4. Step 4: Simplify right side
    341,200.55x = 93,141,841,466.36
  5. Step 5: Solve for x
    x = 93,141,841,466.36/341,200.55
  6. Step 6: Final answer
    x = 272,982.69

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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.