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Finding the Fourth Proportional to 703,707.12, 971,130.74 and 397,765.18

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Solution

The fourth proportional to 703,707.12, 971,130.74 and 397,765.18 is: 548,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,707.12 : 971,130.74 = 397,765.18 : x
  2. Step 2: Convert to fraction form
    703,707.12/971,130.74 = 397,765.18/x
  3. Step 3: Cross multiply
    703,707.12x = 971,130.74 × 397,765.18
  4. Step 4: Simplify right side
    703,707.12x = 386,281,996,180.86
  5. Step 5: Solve for x
    x = 386,281,996,180.86/703,707.12
  6. Step 6: Final answer
    x = 548,924.38

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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.