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Finding the Fourth Proportional to 341,003.38, 470,610.33 and 197,762.14

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Solution

The fourth proportional to 341,003.38, 470,610.33 and 197,762.14 is: 272,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,003.38 : 470,610.33 = 197,762.14 : x
  2. Step 2: Convert to fraction form
    341,003.38/470,610.33 = 197,762.14/x
  3. Step 3: Cross multiply
    341,003.38x = 470,610.33 × 197,762.14
  4. Step 4: Simplify right side
    341,003.38x = 93,068,905,966.91
  5. Step 5: Solve for x
    x = 93,068,905,966.91/341,003.38
  6. Step 6: Final answer
    x = 272,926.64

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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.