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Finding the Fourth Proportional to 702,913.29, 970,024.98 and 380,623.38

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Solution

The fourth proportional to 702,913.29, 970,024.98 and 380,623.38 is: 525,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,913.29 : 970,024.98 = 380,623.38 : x
  2. Step 2: Convert to fraction form
    702,913.29/970,024.98 = 380,623.38/x
  3. Step 3: Cross multiply
    702,913.29x = 970,024.98 × 380,623.38
  4. Step 4: Simplify right side
    702,913.29x = 369,214,186,572.03
  5. Step 5: Solve for x
    x = 369,214,186,572.03/702,913.29
  6. Step 6: Final answer
    x = 525,262.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.