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Finding the Fourth Proportional to 304,283.82, 456,436.14 and 104,602.50

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Solution

The fourth proportional to 304,283.82, 456,436.14 and 104,602.50 is: 156,907.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,283.82 : 456,436.14 = 104,602.50 : x
  2. Step 2: Convert to fraction form
    304,283.82/456,436.14 = 104,602.50/x
  3. Step 3: Cross multiply
    304,283.82x = 456,436.14 × 104,602.50
  4. Step 4: Simplify right side
    304,283.82x = 47,744,361,334.35
  5. Step 5: Solve for x
    x = 47,744,361,334.35/304,283.82
  6. Step 6: Final answer
    x = 156,907.33

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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.