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Finding the Fourth Proportional to 518,791.63, 715,810.56 and 314,838

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Solution

The fourth proportional to 518,791.63, 715,810.56 and 314,838 is: 434,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,791.63 : 715,810.56 = 314,838 : x
  2. Step 2: Convert to fraction form
    518,791.63/715,810.56 = 314,838/x
  3. Step 3: Cross multiply
    518,791.63x = 715,810.56 × 314,838
  4. Step 4: Simplify right side
    518,791.63x = 225,364,365,089.28
  5. Step 5: Solve for x
    x = 225,364,365,089.28/518,791.63
  6. Step 6: Final answer
    x = 434,402.47

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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.