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Finding the Fourth Proportional to 731,313.42, 1,009,305.99 and 409,041.42

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Solution

The fourth proportional to 731,313.42, 1,009,305.99 and 409,041.42 is: 564,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,313.42 : 1,009,305.99 = 409,041.42 : x
  2. Step 2: Convert to fraction form
    731,313.42/1,009,305.99 = 409,041.42/x
  3. Step 3: Cross multiply
    731,313.42x = 1,009,305.99 × 409,041.42
  4. Step 4: Simplify right side
    731,313.42x = 412,847,955,364.11
  5. Step 5: Solve for x
    x = 412,847,955,364.11/731,313.42
  6. Step 6: Final answer
    x = 564,529.44

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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.