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Finding the Fourth Proportional to 631,202.40, 946,342.80 and 257,032.80

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Solution

The fourth proportional to 631,202.40, 946,342.80 and 257,032.80 is: 385,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,202.40 : 946,342.80 = 257,032.80 : x
  2. Step 2: Convert to fraction form
    631,202.40/946,342.80 = 257,032.80/x
  3. Step 3: Cross multiply
    631,202.40x = 946,342.80 × 257,032.80
  4. Step 4: Simplify right side
    631,202.40x = 243,241,139,643.84
  5. Step 5: Solve for x
    x = 243,241,139,643.84/631,202.40
  6. Step 6: Final answer
    x = 385,361.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.