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Finding the Fourth Proportional to 706,492.07, 974,954.35 and 384,201.40

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Solution

The fourth proportional to 706,492.07, 974,954.35 and 384,201.40 is: 530,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,492.07 : 974,954.35 = 384,201.40 : x
  2. Step 2: Convert to fraction form
    706,492.07/974,954.35 = 384,201.40/x
  3. Step 3: Cross multiply
    706,492.07x = 974,954.35 × 384,201.40
  4. Step 4: Simplify right side
    706,492.07x = 374,578,821,568.85
  5. Step 5: Solve for x
    x = 374,578,821,568.85/706,492.07
  6. Step 6: Final answer
    x = 530,195.37

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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.