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Finding the Fourth Proportional to 1,196,214, 1,650,769.64 and 659,670

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Solution

The fourth proportional to 1,196,214, 1,650,769.64 and 659,670 is: 910,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,214 : 1,650,769.64 = 659,670 : x
  2. Step 2: Convert to fraction form
    1,196,214/1,650,769.64 = 659,670/x
  3. Step 3: Cross multiply
    1,196,214x = 1,650,769.64 × 659,670
  4. Step 4: Simplify right side
    1,196,214x = 1,088,963,208,418.80
  5. Step 5: Solve for x
    x = 1,088,963,208,418.80/1,196,214
  6. Step 6: Final answer
    x = 910,341.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.