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Finding the Fourth Proportional to 304,269.93, 420,322.00 and 277,000.47

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Solution

The fourth proportional to 304,269.93, 420,322.00 and 277,000.47 is: 382,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,269.93 : 420,322.00 = 277,000.47 : x
  2. Step 2: Convert to fraction form
    304,269.93/420,322.00 = 277,000.47/x
  3. Step 3: Cross multiply
    304,269.93x = 420,322.00 × 277,000.47
  4. Step 4: Simplify right side
    304,269.93x = 116,429,390,858.84
  5. Step 5: Solve for x
    x = 116,429,390,858.84/304,269.93
  6. Step 6: Final answer
    x = 382,651.65

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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.