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Finding the Fourth Proportional to 761,866.96, 1,051,388.26 and 417,734.32

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Solution

The fourth proportional to 761,866.96, 1,051,388.26 and 417,734.32 is: 576,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,866.96 : 1,051,388.26 = 417,734.32 : x
  2. Step 2: Convert to fraction form
    761,866.96/1,051,388.26 = 417,734.32/x
  3. Step 3: Cross multiply
    761,866.96x = 1,051,388.26 × 417,734.32
  4. Step 4: Simplify right side
    761,866.96x = 439,200,959,847.08
  5. Step 5: Solve for x
    x = 439,200,959,847.08/761,866.96
  6. Step 6: Final answer
    x = 576,479.86

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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.