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Finding the Fourth Proportional to 489,706.40, 734,559.60 and 339,629.60

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Solution

The fourth proportional to 489,706.40, 734,559.60 and 339,629.60 is: 509,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,706.40 : 734,559.60 = 339,629.60 : x
  2. Step 2: Convert to fraction form
    489,706.40/734,559.60 = 339,629.60/x
  3. Step 3: Cross multiply
    489,706.40x = 734,559.60 × 339,629.60
  4. Step 4: Simplify right side
    489,706.40x = 249,478,183,124.16
  5. Step 5: Solve for x
    x = 249,478,183,124.16/489,706.40
  6. Step 6: Final answer
    x = 509,444.40

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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.