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Finding the Fourth Proportional to 1,411,262.74, 1,947,709.52 and 838,305.19

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Solution

The fourth proportional to 1,411,262.74, 1,947,709.52 and 838,305.19 is: 1,156,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,262.74 : 1,947,709.52 = 838,305.19 : x
  2. Step 2: Convert to fraction form
    1,411,262.74/1,947,709.52 = 838,305.19/x
  3. Step 3: Cross multiply
    1,411,262.74x = 1,947,709.52 × 838,305.19
  4. Step 4: Simplify right side
    1,411,262.74x = 1,632,774,996,454.90
  5. Step 5: Solve for x
    x = 1,632,774,996,454.90/1,411,262.74
  6. Step 6: Final answer
    x = 1,156,960.33

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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.