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Finding the Fourth Proportional to 613,907.38, 847,079.76 and 341,968.51

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Solution

The fourth proportional to 613,907.38, 847,079.76 and 341,968.51 is: 471,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,907.38 : 847,079.76 = 341,968.51 : x
  2. Step 2: Convert to fraction form
    613,907.38/847,079.76 = 341,968.51/x
  3. Step 3: Cross multiply
    613,907.38x = 847,079.76 × 341,968.51
  4. Step 4: Simplify right side
    613,907.38x = 289,674,603,378.36
  5. Step 5: Solve for x
    x = 289,674,603,378.36/613,907.38
  6. Step 6: Final answer
    x = 471,853.92

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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.