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Finding the Fourth Proportional to 310,200.93, 427,968.27 and 202,833.81

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Solution

The fourth proportional to 310,200.93, 427,968.27 and 202,833.81 is: 279,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,200.93 : 427,968.27 = 202,833.81 : x
  2. Step 2: Convert to fraction form
    310,200.93/427,968.27 = 202,833.81/x
  3. Step 3: Cross multiply
    310,200.93x = 427,968.27 × 202,833.81
  4. Step 4: Simplify right side
    310,200.93x = 86,806,434,763.21
  5. Step 5: Solve for x
    x = 86,806,434,763.21/310,200.93
  6. Step 6: Final answer
    x = 279,839.38

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1.5x scale

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.