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Finding the Fourth Proportional to 734,810.93, 1,013,969.09 and 412,447.13

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Solution

The fourth proportional to 734,810.93, 1,013,969.09 and 412,447.13 is: 569,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,810.93 : 1,013,969.09 = 412,447.13 : x
  2. Step 2: Convert to fraction form
    734,810.93/1,013,969.09 = 412,447.13/x
  3. Step 3: Cross multiply
    734,810.93x = 1,013,969.09 × 412,447.13
  4. Step 4: Simplify right side
    734,810.93x = 418,208,637,040.48
  5. Step 5: Solve for x
    x = 418,208,637,040.48/734,810.93
  6. Step 6: Final answer
    x = 569,137.75

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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.