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Finding the Fourth Proportional to 493,692.68, 740,040.46 and 194,383.32

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Solution

The fourth proportional to 493,692.68, 740,040.46 and 194,383.32 is: 291,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,692.68 : 740,040.46 = 194,383.32 : x
  2. Step 2: Convert to fraction form
    493,692.68/740,040.46 = 194,383.32/x
  3. Step 3: Cross multiply
    493,692.68x = 740,040.46 × 194,383.32
  4. Step 4: Simplify right side
    493,692.68x = 143,851,521,549.13
  5. Step 5: Solve for x
    x = 143,851,521,549.13/493,692.68
  6. Step 6: Final answer
    x = 291,378.68

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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.