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Finding the Fourth Proportional to 548,411.85, 822,740.76 and 193,428.81

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Solution

The fourth proportional to 548,411.85, 822,740.76 and 193,428.81 is: 290,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,411.85 : 822,740.76 = 193,428.81 : x
  2. Step 2: Convert to fraction form
    548,411.85/822,740.76 = 193,428.81/x
  3. Step 3: Cross multiply
    548,411.85x = 822,740.76 × 193,428.81
  4. Step 4: Simplify right side
    548,411.85x = 159,141,766,145.30
  5. Step 5: Solve for x
    x = 159,141,766,145.30/548,411.85
  6. Step 6: Final answer
    x = 290,186.59

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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.