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Finding the Fourth Proportional to 290,293.29, 400,135.19 and 216,580.46

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Solution

The fourth proportional to 290,293.29, 400,135.19 and 216,580.46 is: 298,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,293.29 : 400,135.19 = 216,580.46 : x
  2. Step 2: Convert to fraction form
    290,293.29/400,135.19 = 216,580.46/x
  3. Step 3: Cross multiply
    290,293.29x = 400,135.19 × 216,580.46
  4. Step 4: Simplify right side
    290,293.29x = 86,661,460,428.81
  5. Step 5: Solve for x
    x = 86,661,460,428.81/290,293.29
  6. Step 6: Final answer
    x = 298,530.70

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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.