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Finding the Fourth Proportional to 380,754.16, 525,434.44 and 208,670.80

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Solution

The fourth proportional to 380,754.16, 525,434.44 and 208,670.80 is: 287,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,754.16 : 525,434.44 = 208,670.80 : x
  2. Step 2: Convert to fraction form
    380,754.16/525,434.44 = 208,670.80/x
  3. Step 3: Cross multiply
    380,754.16x = 525,434.44 × 208,670.80
  4. Step 4: Simplify right side
    380,754.16x = 109,642,824,942.35
  5. Step 5: Solve for x
    x = 109,642,824,942.35/380,754.16
  6. Step 6: Final answer
    x = 287,962.25

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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.