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Finding the Fourth Proportional to 734,563.69, 1,013,800.13 and 407,950.09

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Solution

The fourth proportional to 734,563.69, 1,013,800.13 and 407,950.09 is: 563,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,563.69 : 1,013,800.13 = 407,950.09 : x
  2. Step 2: Convert to fraction form
    734,563.69/1,013,800.13 = 407,950.09/x
  3. Step 3: Cross multiply
    734,563.69x = 1,013,800.13 × 407,950.09
  4. Step 4: Simplify right side
    734,563.69x = 413,579,854,275.51
  5. Step 5: Solve for x
    x = 413,579,854,275.51/734,563.69
  6. Step 6: Final answer
    x = 563,027.90

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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.