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Finding the Fourth Proportional to 304,877.60, 457,316.40 and 205,344.80

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Solution

The fourth proportional to 304,877.60, 457,316.40 and 205,344.80 is: 308,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,877.60 : 457,316.40 = 205,344.80 : x
  2. Step 2: Convert to fraction form
    304,877.60/457,316.40 = 205,344.80/x
  3. Step 3: Cross multiply
    304,877.60x = 457,316.40 × 205,344.80
  4. Step 4: Simplify right side
    304,877.60x = 93,907,544,694.72
  5. Step 5: Solve for x
    x = 93,907,544,694.72/304,877.60
  6. Step 6: Final answer
    x = 308,017.20

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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.