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Finding the Fourth Proportional to 310,197.62, 427,963.70 and 202,830.50

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Solution

The fourth proportional to 310,197.62, 427,963.70 and 202,830.50 is: 279,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,197.62 : 427,963.70 = 202,830.50 : x
  2. Step 2: Convert to fraction form
    310,197.62/427,963.70 = 202,830.50/x
  3. Step 3: Cross multiply
    310,197.62x = 427,963.70 × 202,830.50
  4. Step 4: Simplify right side
    310,197.62x = 86,804,089,113.03
  5. Step 5: Solve for x
    x = 86,804,089,113.03/310,197.62
  6. Step 6: Final answer
    x = 279,834.81

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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.