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Finding the Fourth Proportional to 304,393.66, 456,460.68 and 104,734.32

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Solution

The fourth proportional to 304,393.66, 456,460.68 and 104,734.32 is: 157,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,393.66 : 456,460.68 = 104,734.32 : x
  2. Step 2: Convert to fraction form
    304,393.66/456,460.68 = 104,734.32/x
  3. Step 3: Cross multiply
    304,393.66x = 456,460.68 × 104,734.32
  4. Step 4: Simplify right side
    304,393.66x = 47,807,098,926.54
  5. Step 5: Solve for x
    x = 47,807,098,926.54/304,393.66
  6. Step 6: Final answer
    x = 157,056.82

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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.