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Finding the Fourth Proportional to 1,193,202, 1,646,622 and 656,658

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Solution

The fourth proportional to 1,193,202, 1,646,622 and 656,658 is: 906,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,202 : 1,646,622 = 656,658 : x
  2. Step 2: Convert to fraction form
    1,193,202/1,646,622 = 656,658/x
  3. Step 3: Cross multiply
    1,193,202x = 1,646,622 × 656,658
  4. Step 4: Simplify right side
    1,193,202x = 1,081,267,509,276
  5. Step 5: Solve for x
    x = 1,081,267,509,276/1,193,202
  6. Step 6: Final answer
    x = 906,189.82

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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.