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Finding the Fourth Proportional to 390,045.24, 538,256.16 and 217,965.60

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Solution

The fourth proportional to 390,045.24, 538,256.16 and 217,965.60 is: 300,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,045.24 : 538,256.16 = 217,965.60 : x
  2. Step 2: Convert to fraction form
    390,045.24/538,256.16 = 217,965.60/x
  3. Step 3: Cross multiply
    390,045.24x = 538,256.16 × 217,965.60
  4. Step 4: Simplify right side
    390,045.24x = 117,321,326,868.10
  5. Step 5: Solve for x
    x = 117,321,326,868.10/390,045.24
  6. Step 6: Final answer
    x = 300,789.02

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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.