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Finding the Fourth Proportional to 434,559.60, 651,839.40 and 282,344.40

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Solution

The fourth proportional to 434,559.60, 651,839.40 and 282,344.40 is: 423,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,559.60 : 651,839.40 = 282,344.40 : x
  2. Step 2: Convert to fraction form
    434,559.60/651,839.40 = 282,344.40/x
  3. Step 3: Cross multiply
    434,559.60x = 651,839.40 × 282,344.40
  4. Step 4: Simplify right side
    434,559.60x = 184,043,204,289.36
  5. Step 5: Solve for x
    x = 184,043,204,289.36/434,559.60
  6. Step 6: Final answer
    x = 423,516.60

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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.