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Finding the Fourth Proportional to 954,436, 1,317,088.12 and 524,713

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Solution

The fourth proportional to 954,436, 1,317,088.12 and 524,713 is: 724,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,436 : 1,317,088.12 = 524,713 : x
  2. Step 2: Convert to fraction form
    954,436/1,317,088.12 = 524,713/x
  3. Step 3: Cross multiply
    954,436x = 1,317,088.12 × 524,713
  4. Step 4: Simplify right side
    954,436x = 691,093,258,709.56
  5. Step 5: Solve for x
    x = 691,093,258,709.56/954,436
  6. Step 6: Final answer
    x = 724,085.49

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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.