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Finding the Fourth Proportional to 437,783.16, 656,639.67 and 194,699.49

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Solution

The fourth proportional to 437,783.16, 656,639.67 and 194,699.49 is: 292,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,783.16 : 656,639.67 = 194,699.49 : x
  2. Step 2: Convert to fraction form
    437,783.16/656,639.67 = 194,699.49/x
  3. Step 3: Cross multiply
    437,783.16x = 656,639.67 × 194,699.49
  4. Step 4: Simplify right side
    437,783.16x = 127,847,408,862.77
  5. Step 5: Solve for x
    x = 127,847,408,862.77/437,783.16
  6. Step 6: Final answer
    x = 292,033.64

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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.