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Finding the Fourth Proportional to 306,048.71, 459,073.07 and 306,048.71

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Solution

The fourth proportional to 306,048.71, 459,073.07 and 306,048.71 is: 459,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,048.71 : 459,073.07 = 306,048.71 : x
  2. Step 2: Convert to fraction form
    306,048.71/459,073.07 = 306,048.71/x
  3. Step 3: Cross multiply
    306,048.71x = 459,073.07 × 306,048.71
  4. Step 4: Simplify right side
    306,048.71x = 140,498,721,634.36
  5. Step 5: Solve for x
    x = 140,498,721,634.36/306,048.71
  6. Step 6: Final answer
    x = 459,073.07

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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.