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Finding the Fourth Proportional to 647,068.96, 970,644.75 and 197,805.70

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Solution

The fourth proportional to 647,068.96, 970,644.75 and 197,805.70 is: 296,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,068.96 : 970,644.75 = 197,805.70 : x
  2. Step 2: Convert to fraction form
    647,068.96/970,644.75 = 197,805.70/x
  3. Step 3: Cross multiply
    647,068.96x = 970,644.75 × 197,805.70
  4. Step 4: Simplify right side
    647,068.96x = 191,999,064,225.08
  5. Step 5: Solve for x
    x = 191,999,064,225.08/647,068.96
  6. Step 6: Final answer
    x = 296,721.18

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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.