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Finding the Fourth Proportional to 306,214.88, 459,292.63 and 92,984.64

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Solution

The fourth proportional to 306,214.88, 459,292.63 and 92,984.64 is: 139,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,214.88 : 459,292.63 = 92,984.64 : x
  2. Step 2: Convert to fraction form
    306,214.88/459,292.63 = 92,984.64/x
  3. Step 3: Cross multiply
    306,214.88x = 459,292.63 × 92,984.64
  4. Step 4: Simplify right side
    306,214.88x = 42,707,160,483.92
  5. Step 5: Solve for x
    x = 42,707,160,483.92/306,214.88
  6. Step 6: Final answer
    x = 139,467.94

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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.