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Finding the Fourth Proportional to 703,368.96, 970,591.71 and 412,949.94

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Solution

The fourth proportional to 703,368.96, 970,591.71 and 412,949.94 is: 569,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,368.96 : 970,591.71 = 412,949.94 : x
  2. Step 2: Convert to fraction form
    703,368.96/970,591.71 = 412,949.94/x
  3. Step 3: Cross multiply
    703,368.96x = 970,591.71 × 412,949.94
  4. Step 4: Simplify right side
    703,368.96x = 400,805,788,409.00
  5. Step 5: Solve for x
    x = 400,805,788,409.00/703,368.96
  6. Step 6: Final answer
    x = 569,837.19

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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.