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Finding the Fourth Proportional to 283,025.74, 390,585.72 and 162,190.38

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Solution

The fourth proportional to 283,025.74, 390,585.72 and 162,190.38 is: 223,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,025.74 : 390,585.72 = 162,190.38 : x
  2. Step 2: Convert to fraction form
    283,025.74/390,585.72 = 162,190.38/x
  3. Step 3: Cross multiply
    283,025.74x = 390,585.72 × 162,190.38
  4. Step 4: Simplify right side
    283,025.74x = 63,349,246,349.37
  5. Step 5: Solve for x
    x = 63,349,246,349.37/283,025.74
  6. Step 6: Final answer
    x = 223,828.57

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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.