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Finding the Fourth Proportional to 304,830.16, 420,776.04 and 248,143.12

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Solution

The fourth proportional to 304,830.16, 420,776.04 and 248,143.12 is: 342,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,830.16 : 420,776.04 = 248,143.12 : x
  2. Step 2: Convert to fraction form
    304,830.16/420,776.04 = 248,143.12/x
  3. Step 3: Cross multiply
    304,830.16x = 420,776.04 × 248,143.12
  4. Step 4: Simplify right side
    304,830.16x = 104,412,679,386.85
  5. Step 5: Solve for x
    x = 104,412,679,386.85/304,830.16
  6. Step 6: Final answer
    x = 342,527.39

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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.