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Finding the Fourth Proportional to 469,527.41, 702,716.47 and 385,284.17

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Solution

The fourth proportional to 469,527.41, 702,716.47 and 385,284.17 is: 576,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,527.41 : 702,716.47 = 385,284.17 : x
  2. Step 2: Convert to fraction form
    469,527.41/702,716.47 = 385,284.17/x
  3. Step 3: Cross multiply
    469,527.41x = 702,716.47 × 385,284.17
  4. Step 4: Simplify right side
    469,527.41x = 270,745,531,889.28
  5. Step 5: Solve for x
    x = 270,745,531,889.28/469,527.41
  6. Step 6: Final answer
    x = 576,634.13

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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.