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Finding the Fourth Proportional to 411,085.80, 616,628.70 and 317,658.60

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Solution

The fourth proportional to 411,085.80, 616,628.70 and 317,658.60 is: 476,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,085.80 : 616,628.70 = 317,658.60 : x
  2. Step 2: Convert to fraction form
    411,085.80/616,628.70 = 317,658.60/x
  3. Step 3: Cross multiply
    411,085.80x = 616,628.70 × 317,658.60
  4. Step 4: Simplify right side
    411,085.80x = 195,877,409,561.82
  5. Step 5: Solve for x
    x = 195,877,409,561.82/411,085.80
  6. Step 6: Final answer
    x = 476,487.90

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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.