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Finding the Fourth Proportional to 304,205, 456,307.50 and 82,589

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Solution

The fourth proportional to 304,205, 456,307.50 and 82,589 is: 123,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,205 : 456,307.50 = 82,589 : x
  2. Step 2: Convert to fraction form
    304,205/456,307.50 = 82,589/x
  3. Step 3: Cross multiply
    304,205x = 456,307.50 × 82,589
  4. Step 4: Simplify right side
    304,205x = 37,685,980,117.50
  5. Step 5: Solve for x
    x = 37,685,980,117.50/304,205
  6. Step 6: Final answer
    x = 123,883.50

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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.