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Finding the Fourth Proportional to 771,858.57, 1,065,164.82 and 470,052.57

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Solution

The fourth proportional to 771,858.57, 1,065,164.82 and 470,052.57 is: 648,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,858.57 : 1,065,164.82 = 470,052.57 : x
  2. Step 2: Convert to fraction form
    771,858.57/1,065,164.82 = 470,052.57/x
  3. Step 3: Cross multiply
    771,858.57x = 1,065,164.82 × 470,052.57
  4. Step 4: Simplify right side
    771,858.57x = 500,683,461,114.59
  5. Step 5: Solve for x
    x = 500,683,461,114.59/771,858.57
  6. Step 6: Final answer
    x = 648,672.54

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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.