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Finding the Fourth Proportional to 703,065.26, 970,225.24 and 380,768

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Solution

The fourth proportional to 703,065.26, 970,225.24 and 380,768 is: 525,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,065.26 : 970,225.24 = 380,768 : x
  2. Step 2: Convert to fraction form
    703,065.26/970,225.24 = 380,768/x
  3. Step 3: Cross multiply
    703,065.26x = 970,225.24 × 380,768
  4. Step 4: Simplify right side
    703,065.26x = 369,430,724,184.32
  5. Step 5: Solve for x
    x = 369,430,724,184.32/703,065.26
  6. Step 6: Final answer
    x = 525,457.23

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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.