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Finding the Fourth Proportional to 702,994.12, 970,130.40 and 380,703.22

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Solution

The fourth proportional to 702,994.12, 970,130.40 and 380,703.22 is: 525,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,994.12 : 970,130.40 = 380,703.22 : x
  2. Step 2: Convert to fraction form
    702,994.12/970,130.40 = 380,703.22/x
  3. Step 3: Cross multiply
    702,994.12x = 970,130.40 × 380,703.22
  4. Step 4: Simplify right side
    702,994.12x = 369,331,765,388.38
  5. Step 5: Solve for x
    x = 369,331,765,388.38/702,994.12
  6. Step 6: Final answer
    x = 525,369.64

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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.