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Finding the Fourth Proportional to 616,166.70, 922,694.85 and 457,536.30

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Solution

The fourth proportional to 616,166.70, 922,694.85 and 457,536.30 is: 685,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,166.70 : 922,694.85 = 457,536.30 : x
  2. Step 2: Convert to fraction form
    616,166.70/922,694.85 = 457,536.30/x
  3. Step 3: Cross multiply
    616,166.70x = 922,694.85 × 457,536.30
  4. Step 4: Simplify right side
    616,166.70x = 422,166,387,698.06
  5. Step 5: Solve for x
    x = 422,166,387,698.06/616,166.70
  6. Step 6: Final answer
    x = 685,149.63

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1.5x scale

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.