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Finding the Fourth Proportional to 414,210.31, 621,323.16 and 129,894.54

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Solution

The fourth proportional to 414,210.31, 621,323.16 and 129,894.54 is: 194,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,210.31 : 621,323.16 = 129,894.54 : x
  2. Step 2: Convert to fraction form
    414,210.31/621,323.16 = 129,894.54/x
  3. Step 3: Cross multiply
    414,210.31x = 621,323.16 × 129,894.54
  4. Step 4: Simplify right side
    414,210.31x = 80,706,483,242.48
  5. Step 5: Solve for x
    x = 80,706,483,242.48/414,210.31
  6. Step 6: Final answer
    x = 194,844.22

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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.