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Finding the Fourth Proportional to 734,564.55, 1,013,699.08 and 412,274.66

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Solution

The fourth proportional to 734,564.55, 1,013,699.08 and 412,274.66 is: 568,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,564.55 : 1,013,699.08 = 412,274.66 : x
  2. Step 2: Convert to fraction form
    734,564.55/1,013,699.08 = 412,274.66/x
  3. Step 3: Cross multiply
    734,564.55x = 1,013,699.08 × 412,274.66
  4. Step 4: Simplify right side
    734,564.55x = 417,922,439,984.38
  5. Step 5: Solve for x
    x = 417,922,439,984.38/734,564.55
  6. Step 6: Final answer
    x = 568,939.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.