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Finding the Fourth Proportional to 591,438.66, 816,184.69 and 319,506.54

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Solution

The fourth proportional to 591,438.66, 816,184.69 and 319,506.54 is: 440,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,438.66 : 816,184.69 = 319,506.54 : x
  2. Step 2: Convert to fraction form
    591,438.66/816,184.69 = 319,506.54/x
  3. Step 3: Cross multiply
    591,438.66x = 816,184.69 × 319,506.54
  4. Step 4: Simplify right side
    591,438.66x = 260,776,346,302.87
  5. Step 5: Solve for x
    x = 260,776,346,302.87/591,438.66
  6. Step 6: Final answer
    x = 440,918.67

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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.