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Finding the Fourth Proportional to 1,398,675.92, 1,930,169.93 and 786,829.11

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Solution

The fourth proportional to 1,398,675.92, 1,930,169.93 and 786,829.11 is: 1,085,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,675.92 : 1,930,169.93 = 786,829.11 : x
  2. Step 2: Convert to fraction form
    1,398,675.92/1,930,169.93 = 786,829.11/x
  3. Step 3: Cross multiply
    1,398,675.92x = 1,930,169.93 × 786,829.11
  4. Step 4: Simplify right side
    1,398,675.92x = 1,518,713,890,137.74
  5. Step 5: Solve for x
    x = 1,518,713,890,137.74/1,398,675.92
  6. Step 6: Final answer
    x = 1,085,822.57

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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.