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Finding the Fourth Proportional to 1,277,354.86, 1,913,863.32 and 770,851.53

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Solution

The fourth proportional to 1,277,354.86, 1,913,863.32 and 770,851.53 is: 1,154,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,354.86 : 1,913,863.32 = 770,851.53 : x
  2. Step 2: Convert to fraction form
    1,277,354.86/1,913,863.32 = 770,851.53/x
  3. Step 3: Cross multiply
    1,277,354.86x = 1,913,863.32 × 770,851.53
  4. Step 4: Simplify right side
    1,277,354.86x = 1,475,304,468,432.88
  5. Step 5: Solve for x
    x = 1,475,304,468,432.88/1,277,354.86
  6. Step 6: Final answer
    x = 1,154,968.38

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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.