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Finding the Fourth Proportional to 310,736.47, 428,849.22 and 189,948.46

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Solution

The fourth proportional to 310,736.47, 428,849.22 and 189,948.46 is: 262,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,736.47 : 428,849.22 = 189,948.46 : x
  2. Step 2: Convert to fraction form
    310,736.47/428,849.22 = 189,948.46/x
  3. Step 3: Cross multiply
    310,736.47x = 428,849.22 × 189,948.46
  4. Step 4: Simplify right side
    310,736.47x = 81,459,248,911.20
  5. Step 5: Solve for x
    x = 81,459,248,911.20/310,736.47
  6. Step 6: Final answer
    x = 262,148.98

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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.