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Finding the Fourth Proportional to 647,661.50, 971,498.40 and 248,207.30

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Solution

The fourth proportional to 647,661.50, 971,498.40 and 248,207.30 is: 372,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,661.50 : 971,498.40 = 248,207.30 : x
  2. Step 2: Convert to fraction form
    647,661.50/971,498.40 = 248,207.30/x
  3. Step 3: Cross multiply
    647,661.50x = 971,498.40 × 248,207.30
  4. Step 4: Simplify right side
    647,661.50x = 241,132,994,818.32
  5. Step 5: Solve for x
    x = 241,132,994,818.32/647,661.50
  6. Step 6: Final answer
    x = 372,313.31

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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.