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Finding the Fourth Proportional to 734,567.54, 1,013,703.21 and 412,277.64

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Solution

The fourth proportional to 734,567.54, 1,013,703.21 and 412,277.64 is: 568,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,567.54 : 1,013,703.21 = 412,277.64 : x
  2. Step 2: Convert to fraction form
    734,567.54/1,013,703.21 = 412,277.64/x
  3. Step 3: Cross multiply
    734,567.54x = 1,013,703.21 × 412,277.64
  4. Step 4: Simplify right side
    734,567.54x = 417,927,167,079.22
  5. Step 5: Solve for x
    x = 417,927,167,079.22/734,567.54
  6. Step 6: Final answer
    x = 568,943.15

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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.