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Finding the Fourth Proportional to 505,454.10, 696,957.97 and 413,285.82

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Solution

The fourth proportional to 505,454.10, 696,957.97 and 413,285.82 is: 569,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,454.10 : 696,957.97 = 413,285.82 : x
  2. Step 2: Convert to fraction form
    505,454.10/696,957.97 = 413,285.82/x
  3. Step 3: Cross multiply
    505,454.10x = 696,957.97 × 413,285.82
  4. Step 4: Simplify right side
    505,454.10x = 288,042,846,136.99
  5. Step 5: Solve for x
    x = 288,042,846,136.99/505,454.10
  6. Step 6: Final answer
    x = 569,869.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.