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Finding the Fourth Proportional to 641,213.70, 884,715.93 and 414,586.50

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Solution

The fourth proportional to 641,213.70, 884,715.93 and 414,586.50 is: 572,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,213.70 : 884,715.93 = 414,586.50 : x
  2. Step 2: Convert to fraction form
    641,213.70/884,715.93 = 414,586.50/x
  3. Step 3: Cross multiply
    641,213.70x = 884,715.93 × 414,586.50
  4. Step 4: Simplify right side
    641,213.70x = 366,791,280,912.95
  5. Step 5: Solve for x
    x = 366,791,280,912.95/641,213.70
  6. Step 6: Final answer
    x = 572,026.58

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1.5x scale

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.