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Finding the Fourth Proportional to 483,409.21, 724,864.74 and 216,941.28

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Solution

The fourth proportional to 483,409.21, 724,864.74 and 216,941.28 is: 325,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,409.21 : 724,864.74 = 216,941.28 : x
  2. Step 2: Convert to fraction form
    483,409.21/724,864.74 = 216,941.28/x
  3. Step 3: Cross multiply
    483,409.21x = 724,864.74 × 216,941.28
  4. Step 4: Simplify right side
    483,409.21x = 157,253,084,522.47
  5. Step 5: Solve for x
    x = 157,253,084,522.47/483,409.21
  6. Step 6: Final answer
    x = 325,300.14

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Why These Related Problems?

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