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Finding the Fourth Proportional to 525,814.40, 787,684.80 and 314,825.60

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Solution

The fourth proportional to 525,814.40, 787,684.80 and 314,825.60 is: 471,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,814.40 : 787,684.80 = 314,825.60 : x
  2. Step 2: Convert to fraction form
    525,814.40/787,684.80 = 314,825.60/x
  3. Step 3: Cross multiply
    525,814.40x = 787,684.80 × 314,825.60
  4. Step 4: Simplify right side
    525,814.40x = 247,983,339,770.88
  5. Step 5: Solve for x
    x = 247,983,339,770.88/525,814.40
  6. Step 6: Final answer
    x = 471,617.63

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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.