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Finding the Fourth Proportional to 295,678.54, 407,935.20 and 168,322.24

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Solution

The fourth proportional to 295,678.54, 407,935.20 and 168,322.24 is: 232,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,678.54 : 407,935.20 = 168,322.24 : x
  2. Step 2: Convert to fraction form
    295,678.54/407,935.20 = 168,322.24/x
  3. Step 3: Cross multiply
    295,678.54x = 407,935.20 × 168,322.24
  4. Step 4: Simplify right side
    295,678.54x = 68,664,566,638.85
  5. Step 5: Solve for x
    x = 68,664,566,638.85/295,678.54
  6. Step 6: Final answer
    x = 232,227.09

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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.