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Finding the Fourth Proportional to 277,947.36, 417,478.98 and 165,846.36

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Solution

The fourth proportional to 277,947.36, 417,478.98 and 165,846.36 is: 249,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,947.36 : 417,478.98 = 165,846.36 : x
  2. Step 2: Convert to fraction form
    277,947.36/417,478.98 = 165,846.36/x
  3. Step 3: Cross multiply
    277,947.36x = 417,478.98 × 165,846.36
  4. Step 4: Simplify right side
    277,947.36x = 69,237,369,209.51
  5. Step 5: Solve for x
    x = 69,237,369,209.51/277,947.36
  6. Step 6: Final answer
    x = 249,102.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.