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Finding the Fourth Proportional to 304,203, 456,304.50 and 82,587

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Solution

The fourth proportional to 304,203, 456,304.50 and 82,587 is: 123,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,203 : 456,304.50 = 82,587 : x
  2. Step 2: Convert to fraction form
    304,203/456,304.50 = 82,587/x
  3. Step 3: Cross multiply
    304,203x = 456,304.50 × 82,587
  4. Step 4: Simplify right side
    304,203x = 37,684,819,741.50
  5. Step 5: Solve for x
    x = 37,684,819,741.50/304,203
  6. Step 6: Final answer
    x = 123,880.50

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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.