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Finding the Fourth Proportional to 687,541.14, 948,792.47 and 381,599.57

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Solution

The fourth proportional to 687,541.14, 948,792.47 and 381,599.57 is: 526,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,541.14 : 948,792.47 = 381,599.57 : x
  2. Step 2: Convert to fraction form
    687,541.14/948,792.47 = 381,599.57/x
  3. Step 3: Cross multiply
    687,541.14x = 948,792.47 × 381,599.57
  4. Step 4: Simplify right side
    687,541.14x = 362,058,799,035.22
  5. Step 5: Solve for x
    x = 362,058,799,035.22/687,541.14
  6. Step 6: Final answer
    x = 526,599.47

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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.