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Finding the Fourth Proportional to 483,684.48, 724,320 and 305,654.40

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Solution

The fourth proportional to 483,684.48, 724,320 and 305,654.40 is: 457,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,684.48 : 724,320 = 305,654.40 : x
  2. Step 2: Convert to fraction form
    483,684.48/724,320 = 305,654.40/x
  3. Step 3: Cross multiply
    483,684.48x = 724,320 × 305,654.40
  4. Step 4: Simplify right side
    483,684.48x = 221,391,595,008.00
  5. Step 5: Solve for x
    x = 221,391,595,008.00/483,684.48
  6. Step 6: Final answer
    x = 457,719.04

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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.