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Finding the Fourth Proportional to 295,206.12, 407,370.06 and 167,878.98

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Solution

The fourth proportional to 295,206.12, 407,370.06 and 167,878.98 is: 231,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,206.12 : 407,370.06 = 167,878.98 : x
  2. Step 2: Convert to fraction form
    295,206.12/407,370.06 = 167,878.98/x
  3. Step 3: Cross multiply
    295,206.12x = 407,370.06 × 167,878.98
  4. Step 4: Simplify right side
    295,206.12x = 68,388,870,155.34
  5. Step 5: Solve for x
    x = 68,388,870,155.34/295,206.12
  6. Step 6: Final answer
    x = 231,664.81

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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.