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Finding the Fourth Proportional to 712,222.64, 982,921.82 and 406,305.76

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Solution

The fourth proportional to 712,222.64, 982,921.82 and 406,305.76 is: 560,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,222.64 : 982,921.82 = 406,305.76 : x
  2. Step 2: Convert to fraction form
    712,222.64/982,921.82 = 406,305.76/x
  3. Step 3: Cross multiply
    712,222.64x = 982,921.82 × 406,305.76
  4. Step 4: Simplify right side
    712,222.64x = 399,366,797,095.68
  5. Step 5: Solve for x
    x = 399,366,797,095.68/712,222.64
  6. Step 6: Final answer
    x = 560,733.08

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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.