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Finding the Fourth Proportional to 734,544.95, 1,013,674.13 and 407,858.66

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Solution

The fourth proportional to 734,544.95, 1,013,674.13 and 407,858.66 is: 562,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,544.95 : 1,013,674.13 = 407,858.66 : x
  2. Step 2: Convert to fraction form
    734,544.95/1,013,674.13 = 407,858.66/x
  3. Step 3: Cross multiply
    734,544.95x = 1,013,674.13 × 407,858.66
  4. Step 4: Simplify right side
    734,544.95x = 413,435,775,892.30
  5. Step 5: Solve for x
    x = 413,435,775,892.30/734,544.95
  6. Step 6: Final answer
    x = 562,846.12

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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.