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Finding the Fourth Proportional to 647,894.80, 971,842.20 and 310,878.10

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Solution

The fourth proportional to 647,894.80, 971,842.20 and 310,878.10 is: 466,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,894.80 : 971,842.20 = 310,878.10 : x
  2. Step 2: Convert to fraction form
    647,894.80/971,842.20 = 310,878.10/x
  3. Step 3: Cross multiply
    647,894.80x = 971,842.20 × 310,878.10
  4. Step 4: Simplify right side
    647,894.80x = 302,124,456,635.82
  5. Step 5: Solve for x
    x = 302,124,456,635.82/647,894.80
  6. Step 6: Final answer
    x = 466,317.15

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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.