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Finding the Fourth Proportional to 513,021.57, 708,040.09 and 295,225.77

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Solution

The fourth proportional to 513,021.57, 708,040.09 and 295,225.77 is: 407,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,021.57 : 708,040.09 = 295,225.77 : x
  2. Step 2: Convert to fraction form
    513,021.57/708,040.09 = 295,225.77/x
  3. Step 3: Cross multiply
    513,021.57x = 708,040.09 × 295,225.77
  4. Step 4: Simplify right side
    513,021.57x = 209,031,680,761.12
  5. Step 5: Solve for x
    x = 209,031,680,761.12/513,021.57
  6. Step 6: Final answer
    x = 407,452.03

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