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Finding the Fourth Proportional to 513,146.16, 708,139.94 and 286,791.66

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Solution

The fourth proportional to 513,146.16, 708,139.94 and 286,791.66 is: 395,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,146.16 : 708,139.94 = 286,791.66 : x
  2. Step 2: Convert to fraction form
    513,146.16/708,139.94 = 286,791.66/x
  3. Step 3: Cross multiply
    513,146.16x = 708,139.94 × 286,791.66
  4. Step 4: Simplify right side
    513,146.16x = 203,088,627,470.94
  5. Step 5: Solve for x
    x = 203,088,627,470.94/513,146.16
  6. Step 6: Final answer
    x = 395,771.50

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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.