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Finding the Fourth Proportional to 295,430.78, 407,689.26 and 168,103.64

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Solution

The fourth proportional to 295,430.78, 407,689.26 and 168,103.64 is: 231,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,430.78 : 407,689.26 = 168,103.64 : x
  2. Step 2: Convert to fraction form
    295,430.78/407,689.26 = 168,103.64/x
  3. Step 3: Cross multiply
    295,430.78x = 407,689.26 × 168,103.64
  4. Step 4: Simplify right side
    295,430.78x = 68,534,048,594.91
  5. Step 5: Solve for x
    x = 68,534,048,594.91/295,430.78
  6. Step 6: Final answer
    x = 231,980.06

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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.