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Finding the Fourth Proportional to 371,458.24, 512,598 and 201,688.48

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Solution

The fourth proportional to 371,458.24, 512,598 and 201,688.48 is: 278,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,458.24 : 512,598 = 201,688.48 : x
  2. Step 2: Convert to fraction form
    371,458.24/512,598 = 201,688.48/x
  3. Step 3: Cross multiply
    371,458.24x = 512,598 × 201,688.48
  4. Step 4: Simplify right side
    371,458.24x = 103,385,111,471.04
  5. Step 5: Solve for x
    x = 103,385,111,471.04/371,458.24
  6. Step 6: Final answer
    x = 278,322.30

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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.