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Finding the Fourth Proportional to 304,239.96, 456,420.78 and 93,870

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Solution

The fourth proportional to 304,239.96, 456,420.78 and 93,870 is: 140,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,239.96 : 456,420.78 = 93,870 : x
  2. Step 2: Convert to fraction form
    304,239.96/456,420.78 = 93,870/x
  3. Step 3: Cross multiply
    304,239.96x = 456,420.78 × 93,870
  4. Step 4: Simplify right side
    304,239.96x = 42,844,218,618.60
  5. Step 5: Solve for x
    x = 42,844,218,618.60/304,239.96
  6. Step 6: Final answer
    x = 140,823.77

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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.