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Finding the Fourth Proportional to 702,914.29, 970,026.36 and 380,624.38

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Solution

The fourth proportional to 702,914.29, 970,026.36 and 380,624.38 is: 525,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,914.29 : 970,026.36 = 380,624.38 : x
  2. Step 2: Convert to fraction form
    702,914.29/970,026.36 = 380,624.38/x
  3. Step 3: Cross multiply
    702,914.29x = 970,026.36 × 380,624.38
  4. Step 4: Simplify right side
    702,914.29x = 369,215,681,858.66
  5. Step 5: Solve for x
    x = 369,215,681,858.66/702,914.29
  6. Step 6: Final answer
    x = 525,264.16

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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.