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Finding the Fourth Proportional to 304,152.40, 419,714.76 and 170,016.40

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Solution

The fourth proportional to 304,152.40, 419,714.76 and 170,016.40 is: 234,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,152.40 : 419,714.76 = 170,016.40 : x
  2. Step 2: Convert to fraction form
    304,152.40/419,714.76 = 170,016.40/x
  3. Step 3: Cross multiply
    304,152.40x = 419,714.76 × 170,016.40
  4. Step 4: Simplify right side
    304,152.40x = 71,358,392,522.06
  5. Step 5: Solve for x
    x = 71,358,392,522.06/304,152.40
  6. Step 6: Final answer
    x = 234,613.94

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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.