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Finding the Fourth Proportional to 649,713.12, 896,714.82 and 377,938.60

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Solution

The fourth proportional to 649,713.12, 896,714.82 and 377,938.60 is: 521,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,713.12 : 896,714.82 = 377,938.60 : x
  2. Step 2: Convert to fraction form
    649,713.12/896,714.82 = 377,938.60/x
  3. Step 3: Cross multiply
    649,713.12x = 896,714.82 × 377,938.60
  4. Step 4: Simplify right side
    649,713.12x = 338,903,143,670.05
  5. Step 5: Solve for x
    x = 338,903,143,670.05/649,713.12
  6. Step 6: Final answer
    x = 521,619.67

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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.