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Finding the Fourth Proportional to 393,994, 590,991 and 98,506

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Solution

The fourth proportional to 393,994, 590,991 and 98,506 is: 147,759

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,994 : 590,991 = 98,506 : x
  2. Step 2: Convert to fraction form
    393,994/590,991 = 98,506/x
  3. Step 3: Cross multiply
    393,994x = 590,991 × 98,506
  4. Step 4: Simplify right side
    393,994x = 58,216,159,446
  5. Step 5: Solve for x
    x = 58,216,159,446/393,994
  6. Step 6: Final answer
    x = 147,759

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.