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Finding the Fourth Proportional to 452,783.10, 678,397.05 and 294,930.30

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Solution

The fourth proportional to 452,783.10, 678,397.05 and 294,930.30 is: 441,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,783.10 : 678,397.05 = 294,930.30 : x
  2. Step 2: Convert to fraction form
    452,783.10/678,397.05 = 294,930.30/x
  3. Step 3: Cross multiply
    452,783.10x = 678,397.05 × 294,930.30
  4. Step 4: Simplify right side
    452,783.10x = 200,079,845,475.62
  5. Step 5: Solve for x
    x = 200,079,845,475.62/452,783.10
  6. Step 6: Final answer
    x = 441,888.94

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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.