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Finding the Fourth Proportional to 565,512.54, 780,412.83 and 307,389.33

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Solution

The fourth proportional to 565,512.54, 780,412.83 and 307,389.33 is: 424,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512.54 : 780,412.83 = 307,389.33 : x
  2. Step 2: Convert to fraction form
    565,512.54/780,412.83 = 307,389.33/x
  3. Step 3: Cross multiply
    565,512.54x = 780,412.83 × 307,389.33
  4. Step 4: Simplify right side
    565,512.54x = 239,890,576,937.10
  5. Step 5: Solve for x
    x = 239,890,576,937.10/565,512.54
  6. Step 6: Final answer
    x = 424,200.28

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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.