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Finding the Fourth Proportional to 523,969.44, 786,503.78 and 464,379.12

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Solution

The fourth proportional to 523,969.44, 786,503.78 and 464,379.12 is: 697,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,969.44 : 786,503.78 = 464,379.12 : x
  2. Step 2: Convert to fraction form
    523,969.44/786,503.78 = 464,379.12/x
  3. Step 3: Cross multiply
    523,969.44x = 786,503.78 × 464,379.12
  4. Step 4: Simplify right side
    523,969.44x = 365,235,933,233.07
  5. Step 5: Solve for x
    x = 365,235,933,233.07/523,969.44
  6. Step 6: Final answer
    x = 697,055.79

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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.