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Finding the Fourth Proportional to 665,643.12, 918,480.24 and 379,168.80

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Solution

The fourth proportional to 665,643.12, 918,480.24 and 379,168.80 is: 523,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,643.12 : 918,480.24 = 379,168.80 : x
  2. Step 2: Convert to fraction form
    665,643.12/918,480.24 = 379,168.80/x
  3. Step 3: Cross multiply
    665,643.12x = 918,480.24 × 379,168.80
  4. Step 4: Simplify right side
    665,643.12x = 348,259,050,424.51
  5. Step 5: Solve for x
    x = 348,259,050,424.51/665,643.12
  6. Step 6: Final answer
    x = 523,191.84

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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.