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Finding the Fourth Proportional to 390,188.88, 538,301.30 and 309,291.75

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Solution

The fourth proportional to 390,188.88, 538,301.30 and 309,291.75 is: 426,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,188.88 : 538,301.30 = 309,291.75 : x
  2. Step 2: Convert to fraction form
    390,188.88/538,301.30 = 309,291.75/x
  3. Step 3: Cross multiply
    390,188.88x = 538,301.30 × 309,291.75
  4. Step 4: Simplify right side
    390,188.88x = 166,492,149,557.82
  5. Step 5: Solve for x
    x = 166,492,149,557.82/390,188.88
  6. Step 6: Final answer
    x = 426,696.30

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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.