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Finding the Fourth Proportional to 316,903.14, 475,034.67 and 198,657.36

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Solution

The fourth proportional to 316,903.14, 475,034.67 and 198,657.36 is: 297,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,903.14 : 475,034.67 = 198,657.36 : x
  2. Step 2: Convert to fraction form
    316,903.14/475,034.67 = 198,657.36/x
  3. Step 3: Cross multiply
    316,903.14x = 475,034.67 × 198,657.36
  4. Step 4: Simplify right side
    316,903.14x = 94,369,133,450.67
  5. Step 5: Solve for x
    x = 94,369,133,450.67/316,903.14
  6. Step 6: Final answer
    x = 297,785.42

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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.