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Finding the Fourth Proportional to 474,121.04, 653,978.76 and 304,085.84

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Solution

The fourth proportional to 474,121.04, 653,978.76 and 304,085.84 is: 419,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,121.04 : 653,978.76 = 304,085.84 : x
  2. Step 2: Convert to fraction form
    474,121.04/653,978.76 = 304,085.84/x
  3. Step 3: Cross multiply
    474,121.04x = 653,978.76 × 304,085.84
  4. Step 4: Simplify right side
    474,121.04x = 198,865,680,576.76
  5. Step 5: Solve for x
    x = 198,865,680,576.76/474,121.04
  6. Step 6: Final answer
    x = 419,440.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.