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Finding the Fourth Proportional to 304,175, 456,262.50 and 82,559

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Solution

The fourth proportional to 304,175, 456,262.50 and 82,559 is: 123,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,175 : 456,262.50 = 82,559 : x
  2. Step 2: Convert to fraction form
    304,175/456,262.50 = 82,559/x
  3. Step 3: Cross multiply
    304,175x = 456,262.50 × 82,559
  4. Step 4: Simplify right side
    304,175x = 37,668,575,737.50
  5. Step 5: Solve for x
    x = 37,668,575,737.50/304,175
  6. Step 6: Final answer
    x = 123,838.50

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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.