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Finding the Fourth Proportional to 392,681.60, 589,022.40 and 268,265.60

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Solution

The fourth proportional to 392,681.60, 589,022.40 and 268,265.60 is: 402,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,681.60 : 589,022.40 = 268,265.60 : x
  2. Step 2: Convert to fraction form
    392,681.60/589,022.40 = 268,265.60/x
  3. Step 3: Cross multiply
    392,681.60x = 589,022.40 × 268,265.60
  4. Step 4: Simplify right side
    392,681.60x = 158,014,447,549.44
  5. Step 5: Solve for x
    x = 158,014,447,549.44/392,681.60
  6. Step 6: Final answer
    x = 402,398.40

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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.