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Finding the Fourth Proportional to 463,391.80, 695,087.70 and 164,210.20

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Solution

The fourth proportional to 463,391.80, 695,087.70 and 164,210.20 is: 246,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,391.80 : 695,087.70 = 164,210.20 : x
  2. Step 2: Convert to fraction form
    463,391.80/695,087.70 = 164,210.20/x
  3. Step 3: Cross multiply
    463,391.80x = 695,087.70 × 164,210.20
  4. Step 4: Simplify right side
    463,391.80x = 114,140,490,234.54
  5. Step 5: Solve for x
    x = 114,140,490,234.54/463,391.80
  6. Step 6: Final answer
    x = 246,315.30

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Similar ratio
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1.5x scale

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.