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Finding the Fourth Proportional to 541,295.84, 746,905.04 and 311,808.29

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Solution

The fourth proportional to 541,295.84, 746,905.04 and 311,808.29 is: 430,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,295.84 : 746,905.04 = 311,808.29 : x
  2. Step 2: Convert to fraction form
    541,295.84/746,905.04 = 311,808.29/x
  3. Step 3: Cross multiply
    541,295.84x = 746,905.04 × 311,808.29
  4. Step 4: Simplify right side
    541,295.84x = 232,891,178,021.22
  5. Step 5: Solve for x
    x = 232,891,178,021.22/541,295.84
  6. Step 6: Final answer
    x = 430,247.50

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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.