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Finding the Fourth Proportional to 304,145.79, 419,716.80 and 168,176.74

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Solution

The fourth proportional to 304,145.79, 419,716.80 and 168,176.74 is: 232,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,145.79 : 419,716.80 = 168,176.74 : x
  2. Step 2: Convert to fraction form
    304,145.79/419,716.80 = 168,176.74/x
  3. Step 3: Cross multiply
    304,145.79x = 419,716.80 × 168,176.74
  4. Step 4: Simplify right side
    304,145.79x = 70,586,603,147.23
  5. Step 5: Solve for x
    x = 70,586,603,147.23/304,145.79
  6. Step 6: Final answer
    x = 232,081.47

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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.