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Finding the Fourth Proportional to 576,072.32, 794,852.52 and 334,214.72

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Solution

The fourth proportional to 576,072.32, 794,852.52 and 334,214.72 is: 461,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,072.32 : 794,852.52 = 334,214.72 : x
  2. Step 2: Convert to fraction form
    576,072.32/794,852.52 = 334,214.72/x
  3. Step 3: Cross multiply
    576,072.32x = 794,852.52 × 334,214.72
  4. Step 4: Simplify right side
    576,072.32x = 265,651,412,413.09
  5. Step 5: Solve for x
    x = 265,651,412,413.09/576,072.32
  6. Step 6: Final answer
    x = 461,142.47

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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.