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Finding the Fourth Proportional to 410,838.40, 616,257.60 and 340,854.40

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Solution

The fourth proportional to 410,838.40, 616,257.60 and 340,854.40 is: 511,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,838.40 : 616,257.60 = 340,854.40 : x
  2. Step 2: Convert to fraction form
    410,838.40/616,257.60 = 340,854.40/x
  3. Step 3: Cross multiply
    410,838.40x = 616,257.60 × 340,854.40
  4. Step 4: Simplify right side
    410,838.40x = 210,054,114,493.44
  5. Step 5: Solve for x
    x = 210,054,114,493.44/410,838.40
  6. Step 6: Final answer
    x = 511,281.60

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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.