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Finding the Fourth Proportional to 706,329.40, 974,754.24 and 384,061.60

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Solution

The fourth proportional to 706,329.40, 974,754.24 and 384,061.60 is: 530,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,329.40 : 974,754.24 = 384,061.60 : x
  2. Step 2: Convert to fraction form
    706,329.40/974,754.24 = 384,061.60/x
  3. Step 3: Cross multiply
    706,329.40x = 974,754.24 × 384,061.60
  4. Step 4: Simplify right side
    706,329.40x = 374,365,673,021.18
  5. Step 5: Solve for x
    x = 374,365,673,021.18/706,329.40
  6. Step 6: Final answer
    x = 530,015.70

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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.