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Finding the Fourth Proportional to 284,316.14, 392,036.40 and 232,471.49

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Solution

The fourth proportional to 284,316.14, 392,036.40 and 232,471.49 is: 320,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,316.14 : 392,036.40 = 232,471.49 : x
  2. Step 2: Convert to fraction form
    284,316.14/392,036.40 = 232,471.49/x
  3. Step 3: Cross multiply
    284,316.14x = 392,036.40 × 232,471.49
  4. Step 4: Simplify right side
    284,316.14x = 91,137,284,082.05
  5. Step 5: Solve for x
    x = 91,137,284,082.05/284,316.14
  6. Step 6: Final answer
    x = 320,549.11

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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.