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Finding the Fourth Proportional to 304,564.26, 456,583.86 and 146,903.52

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Solution

The fourth proportional to 304,564.26, 456,583.86 and 146,903.52 is: 220,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,564.26 : 456,583.86 = 146,903.52 : x
  2. Step 2: Convert to fraction form
    304,564.26/456,583.86 = 146,903.52/x
  3. Step 3: Cross multiply
    304,564.26x = 456,583.86 × 146,903.52
  4. Step 4: Simplify right side
    304,564.26x = 67,073,776,209.19
  5. Step 5: Solve for x
    x = 67,073,776,209.19/304,564.26
  6. Step 6: Final answer
    x = 220,228.65

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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.