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Finding the Fourth Proportional to 268,378.40, 402,567.60 and 179,904.80

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Solution

The fourth proportional to 268,378.40, 402,567.60 and 179,904.80 is: 269,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,378.40 : 402,567.60 = 179,904.80 : x
  2. Step 2: Convert to fraction form
    268,378.40/402,567.60 = 179,904.80/x
  3. Step 3: Cross multiply
    268,378.40x = 402,567.60 × 179,904.80
  4. Step 4: Simplify right side
    268,378.40x = 72,423,843,564.48
  5. Step 5: Solve for x
    x = 72,423,843,564.48/268,378.40
  6. Step 6: Final answer
    x = 269,857.20

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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.