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Finding the Fourth Proportional to 734,344.32, 1,013,342.02 and 407,674.87

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Solution

The fourth proportional to 734,344.32, 1,013,342.02 and 407,674.87 is: 562,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,344.32 : 1,013,342.02 = 407,674.87 : x
  2. Step 2: Convert to fraction form
    734,344.32/1,013,342.02 = 407,674.87/x
  3. Step 3: Cross multiply
    734,344.32x = 1,013,342.02 × 407,674.87
  4. Step 4: Simplify right side
    734,344.32x = 413,114,072,716.50
  5. Step 5: Solve for x
    x = 413,114,072,716.50/734,344.32
  6. Step 6: Final answer
    x = 562,561.81

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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.