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Finding the Fourth Proportional to 304,344.30, 456,516.45 and 146,534.70

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Solution

The fourth proportional to 304,344.30, 456,516.45 and 146,534.70 is: 219,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,344.30 : 456,516.45 = 146,534.70 : x
  2. Step 2: Convert to fraction form
    304,344.30/456,516.45 = 146,534.70/x
  3. Step 3: Cross multiply
    304,344.30x = 456,516.45 × 146,534.70
  4. Step 4: Simplify right side
    304,344.30x = 66,895,501,045.82
  5. Step 5: Solve for x
    x = 66,895,501,045.82/304,344.30
  6. Step 6: Final answer
    x = 219,802.05

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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.