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Finding the Fourth Proportional to 362,300, 499,989.62 and 201,155.07

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Solution

The fourth proportional to 362,300, 499,989.62 and 201,155.07 is: 277,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,300 : 499,989.62 = 201,155.07 : x
  2. Step 2: Convert to fraction form
    362,300/499,989.62 = 201,155.07/x
  3. Step 3: Cross multiply
    362,300x = 499,989.62 × 201,155.07
  4. Step 4: Simplify right side
    362,300x = 100,575,446,004.60
  5. Step 5: Solve for x
    x = 100,575,446,004.60/362,300
  6. Step 6: Final answer
    x = 277,602.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.