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Finding the Fourth Proportional to 696,657, 1,045,160.48 and 198,021

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Solution

The fourth proportional to 696,657, 1,045,160.48 and 198,021 is: 297,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,657 : 1,045,160.48 = 198,021 : x
  2. Step 2: Convert to fraction form
    696,657/1,045,160.48 = 198,021/x
  3. Step 3: Cross multiply
    696,657x = 1,045,160.48 × 198,021
  4. Step 4: Simplify right side
    696,657x = 206,963,723,905.13
  5. Step 5: Solve for x
    x = 206,963,723,905.13/696,657
  6. Step 6: Final answer
    x = 297,081.24

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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.