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Finding the Fourth Proportional to 316,898.84, 475,028.42 and 198,653.23

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Solution

The fourth proportional to 316,898.84, 475,028.42 and 198,653.23 is: 297,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,898.84 : 475,028.42 = 198,653.23 : x
  2. Step 2: Convert to fraction form
    316,898.84/475,028.42 = 198,653.23/x
  3. Step 3: Cross multiply
    316,898.84x = 475,028.42 × 198,653.23
  4. Step 4: Simplify right side
    316,898.84x = 94,365,926,606.39
  5. Step 5: Solve for x
    x = 94,365,926,606.39/316,898.84
  6. Step 6: Final answer
    x = 297,779.34

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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.