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Finding the Fourth Proportional to 541,102.10, 746,671.77 and 311,598.26

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Solution

The fourth proportional to 541,102.10, 746,671.77 and 311,598.26 is: 429,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,102.10 : 746,671.77 = 311,598.26 : x
  2. Step 2: Convert to fraction form
    541,102.10/746,671.77 = 311,598.26/x
  3. Step 3: Cross multiply
    541,102.10x = 746,671.77 × 311,598.26
  4. Step 4: Simplify right side
    541,102.10x = 232,661,624,323.12
  5. Step 5: Solve for x
    x = 232,661,624,323.12/541,102.10
  6. Step 6: Final answer
    x = 429,977.31

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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.