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Finding the Fourth Proportional to 402,706.70, 604,254.45 and 284,122.70

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Solution

The fourth proportional to 402,706.70, 604,254.45 and 284,122.70 is: 426,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,706.70 : 604,254.45 = 284,122.70 : x
  2. Step 2: Convert to fraction form
    402,706.70/604,254.45 = 284,122.70/x
  3. Step 3: Cross multiply
    402,706.70x = 604,254.45 × 284,122.70
  4. Step 4: Simplify right side
    402,706.70x = 171,682,405,821.02
  5. Step 5: Solve for x
    x = 171,682,405,821.02/402,706.70
  6. Step 6: Final answer
    x = 426,321.21

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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.