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Finding the Fourth Proportional to 490,824.80, 736,928.40 and 385,762.40

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Solution

The fourth proportional to 490,824.80, 736,928.40 and 385,762.40 is: 579,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,824.80 : 736,928.40 = 385,762.40 : x
  2. Step 2: Convert to fraction form
    490,824.80/736,928.40 = 385,762.40/x
  3. Step 3: Cross multiply
    490,824.80x = 736,928.40 × 385,762.40
  4. Step 4: Simplify right side
    490,824.80x = 284,279,268,212.16
  5. Step 5: Solve for x
    x = 284,279,268,212.16/490,824.80
  6. Step 6: Final answer
    x = 579,186.85

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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.