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Finding the Fourth Proportional to 380,523.32, 525,130.66 and 217,176.55

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Solution

The fourth proportional to 380,523.32, 525,130.66 and 217,176.55 is: 299,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,523.32 : 525,130.66 = 217,176.55 : x
  2. Step 2: Convert to fraction form
    380,523.32/525,130.66 = 217,176.55/x
  3. Step 3: Cross multiply
    380,523.32x = 525,130.66 × 217,176.55
  4. Step 4: Simplify right side
    380,523.32x = 114,046,064,268.14
  5. Step 5: Solve for x
    x = 114,046,064,268.14/380,523.32
  6. Step 6: Final answer
    x = 299,708.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.