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Finding the Fourth Proportional to 714,742.88, 986,345.17 and 412,936.88

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Solution

The fourth proportional to 714,742.88, 986,345.17 and 412,936.88 is: 569,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,742.88 : 986,345.17 = 412,936.88 : x
  2. Step 2: Convert to fraction form
    714,742.88/986,345.17 = 412,936.88/x
  3. Step 3: Cross multiply
    714,742.88x = 986,345.17 × 412,936.88
  4. Step 4: Simplify right side
    714,742.88x = 407,298,291,138.80
  5. Step 5: Solve for x
    x = 407,298,291,138.80/714,742.88
  6. Step 6: Final answer
    x = 569,852.89

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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.