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Finding the Fourth Proportional to 415,190.86, 572,366.19 and 295,751.50

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Solution

The fourth proportional to 415,190.86, 572,366.19 and 295,751.50 is: 407,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,190.86 : 572,366.19 = 295,751.50 : x
  2. Step 2: Convert to fraction form
    415,190.86/572,366.19 = 295,751.50/x
  3. Step 3: Cross multiply
    415,190.86x = 572,366.19 × 295,751.50
  4. Step 4: Simplify right side
    415,190.86x = 169,278,159,241.79
  5. Step 5: Solve for x
    x = 169,278,159,241.79/415,190.86
  6. Step 6: Final answer
    x = 407,711.67

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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.