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Finding the Fourth Proportional to 490,597.60, 735,896.40 and 384,309.40

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Solution

The fourth proportional to 490,597.60, 735,896.40 and 384,309.40 is: 576,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,597.60 : 735,896.40 = 384,309.40 : x
  2. Step 2: Convert to fraction form
    490,597.60/735,896.40 = 384,309.40/x
  3. Step 3: Cross multiply
    490,597.60x = 735,896.40 × 384,309.40
  4. Step 4: Simplify right side
    490,597.60x = 282,811,903,946.16
  5. Step 5: Solve for x
    x = 282,811,903,946.16/490,597.60
  6. Step 6: Final answer
    x = 576,464.10

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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.