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Finding the Fourth Proportional to 463,652.93, 695,300.78 and 164,077.67

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Solution

The fourth proportional to 463,652.93, 695,300.78 and 164,077.67 is: 246,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,652.93 : 695,300.78 = 164,077.67 : x
  2. Step 2: Convert to fraction form
    463,652.93/695,300.78 = 164,077.67/x
  3. Step 3: Cross multiply
    463,652.93x = 695,300.78 × 164,077.67
  4. Step 4: Simplify right side
    463,652.93x = 114,083,328,865.27
  5. Step 5: Solve for x
    x = 114,083,328,865.27/463,652.93
  6. Step 6: Final answer
    x = 246,053.29

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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.