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Finding the Fourth Proportional to 509,580.63, 764,462.88 and 209,897.64

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Solution

The fourth proportional to 509,580.63, 764,462.88 and 209,897.64 is: 314,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,580.63 : 764,462.88 = 209,897.64 : x
  2. Step 2: Convert to fraction form
    509,580.63/764,462.88 = 209,897.64/x
  3. Step 3: Cross multiply
    509,580.63x = 764,462.88 × 209,897.64
  4. Step 4: Simplify right side
    509,580.63x = 160,458,954,379.60
  5. Step 5: Solve for x
    x = 160,458,954,379.60/509,580.63
  6. Step 6: Final answer
    x = 314,884.33

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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.