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Finding the Fourth Proportional to 295,609.83, 407,941.95 and 168,285.25

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Solution

The fourth proportional to 295,609.83, 407,941.95 and 168,285.25 is: 232,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,609.83 : 407,941.95 = 168,285.25 : x
  2. Step 2: Convert to fraction form
    295,609.83/407,941.95 = 168,285.25/x
  3. Step 3: Cross multiply
    295,609.83x = 407,941.95 × 168,285.25
  4. Step 4: Simplify right side
    295,609.83x = 68,650,613,041.24
  5. Step 5: Solve for x
    x = 68,650,613,041.24/295,609.83
  6. Step 6: Final answer
    x = 232,233.86

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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.