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Finding the Fourth Proportional to 789,410, 1,089,411.72 and 431,714

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Solution

The fourth proportional to 789,410, 1,089,411.72 and 431,714 is: 595,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,410 : 1,089,411.72 = 431,714 : x
  2. Step 2: Convert to fraction form
    789,410/1,089,411.72 = 431,714/x
  3. Step 3: Cross multiply
    789,410x = 1,089,411.72 × 431,714
  4. Step 4: Simplify right side
    789,410x = 470,314,291,288.08
  5. Step 5: Solve for x
    x = 470,314,291,288.08/789,410
  6. Step 6: Final answer
    x = 595,779.50

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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.