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Finding the Fourth Proportional to 295,118.64, 407,222.64 and 167,780.16

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Solution

The fourth proportional to 295,118.64, 407,222.64 and 167,780.16 is: 231,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,118.64 : 407,222.64 = 167,780.16 : x
  2. Step 2: Convert to fraction form
    295,118.64/407,222.64 = 167,780.16/x
  3. Step 3: Cross multiply
    295,118.64x = 407,222.64 × 167,780.16
  4. Step 4: Simplify right side
    295,118.64x = 68,323,879,694.82
  5. Step 5: Solve for x
    x = 68,323,879,694.82/295,118.64
  6. Step 6: Final answer
    x = 231,513.26

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1.5x scale

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.