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Finding the Fourth Proportional to 703,054.08, 970,213.14 and 380,763.18

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Solution

The fourth proportional to 703,054.08, 970,213.14 and 380,763.18 is: 525,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,054.08 : 970,213.14 = 380,763.18 : x
  2. Step 2: Convert to fraction form
    703,054.08/970,213.14 = 380,763.18/x
  3. Step 3: Cross multiply
    703,054.08x = 970,213.14 × 380,763.18
  4. Step 4: Simplify right side
    703,054.08x = 369,421,440,464.19
  5. Step 5: Solve for x
    x = 369,421,440,464.19/703,054.08
  6. Step 6: Final answer
    x = 525,452.38

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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.