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Finding the Fourth Proportional to 316,892.14, 475,018.17 and 198,646.36

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Solution

The fourth proportional to 316,892.14, 475,018.17 and 198,646.36 is: 297,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,892.14 : 475,018.17 = 198,646.36 : x
  2. Step 2: Convert to fraction form
    316,892.14/475,018.17 = 198,646.36/x
  3. Step 3: Cross multiply
    316,892.14x = 475,018.17 × 198,646.36
  4. Step 4: Simplify right side
    316,892.14x = 94,360,630,404.36
  5. Step 5: Solve for x
    x = 94,360,630,404.36/316,892.14
  6. Step 6: Final answer
    x = 297,768.92

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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.