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Finding the Fourth Proportional to 465,978.83, 698,525.19 and 297,024.89

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Solution

The fourth proportional to 465,978.83, 698,525.19 and 297,024.89 is: 445,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,978.83 : 698,525.19 = 297,024.89 : x
  2. Step 2: Convert to fraction form
    465,978.83/698,525.19 = 297,024.89/x
  3. Step 3: Cross multiply
    465,978.83x = 698,525.19 × 297,024.89
  4. Step 4: Simplify right side
    465,978.83x = 207,479,364,229.35
  5. Step 5: Solve for x
    x = 207,479,364,229.35/465,978.83
  6. Step 6: Final answer
    x = 445,254.92

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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.