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Finding the Fourth Proportional to 291,546.39, 402,317.75 and 160,719.83

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Solution

The fourth proportional to 291,546.39, 402,317.75 and 160,719.83 is: 221,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,546.39 : 402,317.75 = 160,719.83 : x
  2. Step 2: Convert to fraction form
    291,546.39/402,317.75 = 160,719.83/x
  3. Step 3: Cross multiply
    291,546.39x = 402,317.75 × 160,719.83
  4. Step 4: Simplify right side
    291,546.39x = 64,660,438,776.19
  5. Step 5: Solve for x
    x = 64,660,438,776.19/291,546.39
  6. Step 6: Final answer
    x = 221,784.39

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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.