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Finding the Fourth Proportional to 714,744, 986,346.72 and 412,938

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Solution

The fourth proportional to 714,744, 986,346.72 and 412,938 is: 569,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,744 : 986,346.72 = 412,938 : x
  2. Step 2: Convert to fraction form
    714,744/986,346.72 = 412,938/x
  3. Step 3: Cross multiply
    714,744x = 986,346.72 × 412,938
  4. Step 4: Simplify right side
    714,744x = 407,300,041,863.36
  5. Step 5: Solve for x
    x = 407,300,041,863.36/714,744
  6. Step 6: Final answer
    x = 569,854.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.