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Finding the Fourth Proportional to 1,169,316, 1,753,974 and 282,852

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Solution

The fourth proportional to 1,169,316, 1,753,974 and 282,852 is: 424,278

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,316 : 1,753,974 = 282,852 : x
  2. Step 2: Convert to fraction form
    1,169,316/1,753,974 = 282,852/x
  3. Step 3: Cross multiply
    1,169,316x = 1,753,974 × 282,852
  4. Step 4: Simplify right side
    1,169,316x = 496,115,053,848
  5. Step 5: Solve for x
    x = 496,115,053,848/1,169,316
  6. Step 6: Final answer
    x = 424,278

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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.