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Finding the Fourth Proportional to 407,832.78, 562,682.25 and 235,688.01

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Solution

The fourth proportional to 407,832.78, 562,682.25 and 235,688.01 is: 325,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,832.78 : 562,682.25 = 235,688.01 : x
  2. Step 2: Convert to fraction form
    407,832.78/562,682.25 = 235,688.01/x
  3. Step 3: Cross multiply
    407,832.78x = 562,682.25 × 235,688.01
  4. Step 4: Simplify right side
    407,832.78x = 132,617,459,764.82
  5. Step 5: Solve for x
    x = 132,617,459,764.82/407,832.78
  6. Step 6: Final answer
    x = 325,176.07

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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.