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Finding the Fourth Proportional to 467,214.27, 699,803.51 and 307,109.48

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Solution

The fourth proportional to 467,214.27, 699,803.51 and 307,109.48 is: 459,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,214.27 : 699,803.51 = 307,109.48 : x
  2. Step 2: Convert to fraction form
    467,214.27/699,803.51 = 307,109.48/x
  3. Step 3: Cross multiply
    467,214.27x = 699,803.51 × 307,109.48
  4. Step 4: Simplify right side
    467,214.27x = 214,916,287,023.71
  5. Step 5: Solve for x
    x = 214,916,287,023.71/467,214.27
  6. Step 6: Final answer
    x = 459,995.13

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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.