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Finding the Fourth Proportional to 412,673.34, 618,477.24 and 184,802.12

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Solution

The fourth proportional to 412,673.34, 618,477.24 and 184,802.12 is: 276,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,673.34 : 618,477.24 = 184,802.12 : x
  2. Step 2: Convert to fraction form
    412,673.34/618,477.24 = 184,802.12/x
  3. Step 3: Cross multiply
    412,673.34x = 618,477.24 × 184,802.12
  4. Step 4: Simplify right side
    412,673.34x = 114,295,905,130.80
  5. Step 5: Solve for x
    x = 114,295,905,130.80/412,673.34
  6. Step 6: Final answer
    x = 276,964.60

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Why These Related Problems?

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