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Finding the Fourth Proportional to 1,170,112, 1,755,168 and 283,648

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Solution

The fourth proportional to 1,170,112, 1,755,168 and 283,648 is: 425,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,112 : 1,755,168 = 283,648 : x
  2. Step 2: Convert to fraction form
    1,170,112/1,755,168 = 283,648/x
  3. Step 3: Cross multiply
    1,170,112x = 1,755,168 × 283,648
  4. Step 4: Simplify right side
    1,170,112x = 497,849,892,864
  5. Step 5: Solve for x
    x = 497,849,892,864/1,170,112
  6. Step 6: Final answer
    x = 425,472

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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.