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Finding the Fourth Proportional to 1,775,286, 2,449,894.76 and 970,470

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Solution

The fourth proportional to 1,775,286, 2,449,894.76 and 970,470 is: 1,339,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,286 : 2,449,894.76 = 970,470 : x
  2. Step 2: Convert to fraction form
    1,775,286/2,449,894.76 = 970,470/x
  3. Step 3: Cross multiply
    1,775,286x = 2,449,894.76 × 970,470
  4. Step 4: Simplify right side
    1,775,286x = 2,377,549,367,737.20
  5. Step 5: Solve for x
    x = 2,377,549,367,737.20/1,775,286
  6. Step 6: Final answer
    x = 1,339,248.64

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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.