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Finding the Fourth Proportional to 402,496.29, 555,458.19 and 221,214.65

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Solution

The fourth proportional to 402,496.29, 555,458.19 and 221,214.65 is: 305,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,496.29 : 555,458.19 = 221,214.65 : x
  2. Step 2: Convert to fraction form
    402,496.29/555,458.19 = 221,214.65/x
  3. Step 3: Cross multiply
    402,496.29x = 555,458.19 × 221,214.65
  4. Step 4: Simplify right side
    402,496.29x = 122,875,486,313.19
  5. Step 5: Solve for x
    x = 122,875,486,313.19/402,496.29
  6. Step 6: Final answer
    x = 305,283.53

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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.