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Finding the Fourth Proportional to 510,486.84, 703,716.39 and 326,705.13

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Solution

The fourth proportional to 510,486.84, 703,716.39 and 326,705.13 is: 450,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,486.84 : 703,716.39 = 326,705.13 : x
  2. Step 2: Convert to fraction form
    510,486.84/703,716.39 = 326,705.13/x
  3. Step 3: Cross multiply
    510,486.84x = 703,716.39 × 326,705.13
  4. Step 4: Simplify right side
    510,486.84x = 229,907,754,678.08
  5. Step 5: Solve for x
    x = 229,907,754,678.08/510,486.84
  6. Step 6: Final answer
    x = 450,369.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.