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Finding the Fourth Proportional to 646,645.30, 969,968.14 and 197,368.68

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Solution

The fourth proportional to 646,645.30, 969,968.14 and 197,368.68 is: 296,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,645.30 : 969,968.14 = 197,368.68 : x
  2. Step 2: Convert to fraction form
    646,645.30/969,968.14 = 197,368.68/x
  3. Step 3: Cross multiply
    646,645.30x = 969,968.14 × 197,368.68
  4. Step 4: Simplify right side
    646,645.30x = 191,441,331,433.86
  5. Step 5: Solve for x
    x = 191,441,331,433.86/646,645.30
  6. Step 6: Final answer
    x = 296,053.08

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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.