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Finding the Fourth Proportional to 304,094.20, 456,141.30 and 204,561.40

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Solution

The fourth proportional to 304,094.20, 456,141.30 and 204,561.40 is: 306,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,094.20 : 456,141.30 = 204,561.40 : x
  2. Step 2: Convert to fraction form
    304,094.20/456,141.30 = 204,561.40/x
  3. Step 3: Cross multiply
    304,094.20x = 456,141.30 × 204,561.40
  4. Step 4: Simplify right side
    304,094.20x = 93,308,902,925.82
  5. Step 5: Solve for x
    x = 93,308,902,925.82/304,094.20
  6. Step 6: Final answer
    x = 306,842.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.