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Finding the Fourth Proportional to 465,498.86, 698,554.47 and 255,284.42

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Solution

The fourth proportional to 465,498.86, 698,554.47 and 255,284.42 is: 383,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,498.86 : 698,554.47 = 255,284.42 : x
  2. Step 2: Convert to fraction form
    465,498.86/698,554.47 = 255,284.42/x
  3. Step 3: Cross multiply
    465,498.86x = 698,554.47 × 255,284.42
  4. Step 4: Simplify right side
    465,498.86x = 178,330,072,712.36
  5. Step 5: Solve for x
    x = 178,330,072,712.36/465,498.86
  6. Step 6: Final answer
    x = 383,094.54

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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.