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Finding the Fourth Proportional to 1,277,335.91, 1,913,834.91 and 770,832.59

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Solution

The fourth proportional to 1,277,335.91, 1,913,834.91 and 770,832.59 is: 1,154,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,335.91 : 1,913,834.91 = 770,832.59 : x
  2. Step 2: Convert to fraction form
    1,277,335.91/1,913,834.91 = 770,832.59/x
  3. Step 3: Cross multiply
    1,277,335.91x = 1,913,834.91 × 770,832.59
  4. Step 4: Simplify right side
    1,277,335.91x = 1,475,246,310,938.54
  5. Step 5: Solve for x
    x = 1,475,246,310,938.54/1,277,335.91
  6. Step 6: Final answer
    x = 1,154,939.98

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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.