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Finding the Fourth Proportional to 692,085.30, 954,896.97 and 405,451.30

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Solution

The fourth proportional to 692,085.30, 954,896.97 and 405,451.30 is: 559,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,085.30 : 954,896.97 = 405,451.30 : x
  2. Step 2: Convert to fraction form
    692,085.30/954,896.97 = 405,451.30/x
  3. Step 3: Cross multiply
    692,085.30x = 954,896.97 × 405,451.30
  4. Step 4: Simplify right side
    692,085.30x = 387,164,217,852.56
  5. Step 5: Solve for x
    x = 387,164,217,852.56/692,085.30
  6. Step 6: Final answer
    x = 559,416.91

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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.