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Finding the Fourth Proportional to 296,469.86, 445,147.67 and 292,041.19

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Solution

The fourth proportional to 296,469.86, 445,147.67 and 292,041.19 is: 438,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,469.86 : 445,147.67 = 292,041.19 : x
  2. Step 2: Convert to fraction form
    296,469.86/445,147.67 = 292,041.19/x
  3. Step 3: Cross multiply
    296,469.86x = 445,147.67 × 292,041.19
  4. Step 4: Simplify right side
    296,469.86x = 130,001,454,889.76
  5. Step 5: Solve for x
    x = 130,001,454,889.76/296,469.86
  6. Step 6: Final answer
    x = 438,498.04

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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.