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Finding the Fourth Proportional to 1,170,110, 1,755,165 and 283,646

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Solution

The fourth proportional to 1,170,110, 1,755,165 and 283,646 is: 425,469

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,110 : 1,755,165 = 283,646 : x
  2. Step 2: Convert to fraction form
    1,170,110/1,755,165 = 283,646/x
  3. Step 3: Cross multiply
    1,170,110x = 1,755,165 × 283,646
  4. Step 4: Simplify right side
    1,170,110x = 497,845,531,590
  5. Step 5: Solve for x
    x = 497,845,531,590/1,170,110
  6. Step 6: Final answer
    x = 425,469

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.