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Finding the Fourth Proportional to 463,953.40, 695,930.10 and 164,431.60

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Solution

The fourth proportional to 463,953.40, 695,930.10 and 164,431.60 is: 246,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,953.40 : 695,930.10 = 164,431.60 : x
  2. Step 2: Convert to fraction form
    463,953.40/695,930.10 = 164,431.60/x
  3. Step 3: Cross multiply
    463,953.40x = 695,930.10 × 164,431.60
  4. Step 4: Simplify right side
    463,953.40x = 114,432,899,831.16
  5. Step 5: Solve for x
    x = 114,432,899,831.16/463,953.40
  6. Step 6: Final answer
    x = 246,647.40

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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.