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Finding the Fourth Proportional to 414,908.13, 572,700.15 and 242,866.34

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Solution

The fourth proportional to 414,908.13, 572,700.15 and 242,866.34 is: 335,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,908.13 : 572,700.15 = 242,866.34 : x
  2. Step 2: Convert to fraction form
    414,908.13/572,700.15 = 242,866.34/x
  3. Step 3: Cross multiply
    414,908.13x = 572,700.15 × 242,866.34
  4. Step 4: Simplify right side
    414,908.13x = 139,089,586,484.45
  5. Step 5: Solve for x
    x = 139,089,586,484.45/414,908.13
  6. Step 6: Final answer
    x = 335,229.84

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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.