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Finding the Fourth Proportional to 304,794, 420,602.76 and 168,827.40

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Solution

The fourth proportional to 304,794, 420,602.76 and 168,827.40 is: 232,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,794 : 420,602.76 = 168,827.40 : x
  2. Step 2: Convert to fraction form
    304,794/420,602.76 = 168,827.40/x
  3. Step 3: Cross multiply
    304,794x = 420,602.76 × 168,827.40
  4. Step 4: Simplify right side
    304,794x = 71,009,270,403.62
  5. Step 5: Solve for x
    x = 71,009,270,403.62/304,794
  6. Step 6: Final answer
    x = 232,974.63

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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.