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Finding the Fourth Proportional to 1,277,337.05, 1,913,836.62 and 770,833.72

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Solution

The fourth proportional to 1,277,337.05, 1,913,836.62 and 770,833.72 is: 1,154,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,337.05 : 1,913,836.62 = 770,833.72 : x
  2. Step 2: Convert to fraction form
    1,277,337.05/1,913,836.62 = 770,833.72/x
  3. Step 3: Cross multiply
    1,277,337.05x = 1,913,836.62 × 770,833.72
  4. Step 4: Simplify right side
    1,277,337.05x = 1,475,249,801,266.83
  5. Step 5: Solve for x
    x = 1,475,249,801,266.83/1,277,337.05
  6. Step 6: Final answer
    x = 1,154,941.68

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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.