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Finding the Fourth Proportional to 1,193,411, 1,646,907.24 and 656,867

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Solution

The fourth proportional to 1,193,411, 1,646,907.24 and 656,867 is: 906,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,411 : 1,646,907.24 = 656,867 : x
  2. Step 2: Convert to fraction form
    1,193,411/1,646,907.24 = 656,867/x
  3. Step 3: Cross multiply
    1,193,411x = 1,646,907.24 × 656,867
  4. Step 4: Simplify right side
    1,193,411x = 1,081,799,018,017.08
  5. Step 5: Solve for x
    x = 1,081,799,018,017.08/1,193,411
  6. Step 6: Final answer
    x = 906,476.49

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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.