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Finding the Fourth Proportional to 778,562.46, 1,074,417.75 and 420,866.46

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Solution

The fourth proportional to 778,562.46, 1,074,417.75 and 420,866.46 is: 580,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,562.46 : 1,074,417.75 = 420,866.46 : x
  2. Step 2: Convert to fraction form
    778,562.46/1,074,417.75 = 420,866.46/x
  3. Step 3: Cross multiply
    778,562.46x = 1,074,417.75 × 420,866.46
  4. Step 4: Simplify right side
    778,562.46x = 452,186,395,003.67
  5. Step 5: Solve for x
    x = 452,186,395,003.67/778,562.46
  6. Step 6: Final answer
    x = 580,796.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.