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Finding the Fourth Proportional to 631,592.40, 946,927.80 and 257,422.80

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Solution

The fourth proportional to 631,592.40, 946,927.80 and 257,422.80 is: 385,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,592.40 : 946,927.80 = 257,422.80 : x
  2. Step 2: Convert to fraction form
    631,592.40/946,927.80 = 257,422.80/x
  3. Step 3: Cross multiply
    631,592.40x = 946,927.80 × 257,422.80
  4. Step 4: Simplify right side
    631,592.40x = 243,760,805,673.84
  5. Step 5: Solve for x
    x = 243,760,805,673.84/631,592.40
  6. Step 6: Final answer
    x = 385,946.39

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