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Finding the Fourth Proportional to 295,175.14, 407,446.86 and 174,316.92

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Solution

The fourth proportional to 295,175.14, 407,446.86 and 174,316.92 is: 240,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,175.14 : 407,446.86 = 174,316.92 : x
  2. Step 2: Convert to fraction form
    295,175.14/407,446.86 = 174,316.92/x
  3. Step 3: Cross multiply
    295,175.14x = 407,446.86 × 174,316.92
  4. Step 4: Simplify right side
    295,175.14x = 71,024,881,698.87
  5. Step 5: Solve for x
    x = 71,024,881,698.87/295,175.14
  6. Step 6: Final answer
    x = 240,619.46

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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.