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Finding the Fourth Proportional to 1,285,834.83, 1,774,494.14 and 712,928.31

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Solution

The fourth proportional to 1,285,834.83, 1,774,494.14 and 712,928.31 is: 983,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,834.83 : 1,774,494.14 = 712,928.31 : x
  2. Step 2: Convert to fraction form
    1,285,834.83/1,774,494.14 = 712,928.31/x
  3. Step 3: Cross multiply
    1,285,834.83x = 1,774,494.14 × 712,928.31
  4. Step 4: Simplify right side
    1,285,834.83x = 1,265,087,104,770.46
  5. Step 5: Solve for x
    x = 1,265,087,104,770.46/1,285,834.83
  6. Step 6: Final answer
    x = 983,864.39

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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.