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Finding the Fourth Proportional to 416,680.86, 575,019.75 and 225,693.66

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Solution

The fourth proportional to 416,680.86, 575,019.75 and 225,693.66 is: 311,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,680.86 : 575,019.75 = 225,693.66 : x
  2. Step 2: Convert to fraction form
    416,680.86/575,019.75 = 225,693.66/x
  3. Step 3: Cross multiply
    416,680.86x = 575,019.75 × 225,693.66
  4. Step 4: Simplify right side
    416,680.86x = 129,778,311,949.79
  5. Step 5: Solve for x
    x = 129,778,311,949.79/416,680.86
  6. Step 6: Final answer
    x = 311,457.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.