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Finding the Fourth Proportional to 294,080.40, 410,824.80 and 294,080.40

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Solution

The fourth proportional to 294,080.40, 410,824.80 and 294,080.40 is: 410,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,080.40 : 410,824.80 = 294,080.40 : x
  2. Step 2: Convert to fraction form
    294,080.40/410,824.80 = 294,080.40/x
  3. Step 3: Cross multiply
    294,080.40x = 410,824.80 × 294,080.40
  4. Step 4: Simplify right side
    294,080.40x = 120,815,521,513.92
  5. Step 5: Solve for x
    x = 120,815,521,513.92/294,080.40
  6. Step 6: Final answer
    x = 410,824.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.