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Finding the Fourth Proportional to 548,148.54, 822,316.74 and 188,302.29

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Solution

The fourth proportional to 548,148.54, 822,316.74 and 188,302.29 is: 282,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,148.54 : 822,316.74 = 188,302.29 : x
  2. Step 2: Convert to fraction form
    548,148.54/822,316.74 = 188,302.29/x
  3. Step 3: Cross multiply
    548,148.54x = 822,316.74 × 188,302.29
  4. Step 4: Simplify right side
    548,148.54x = 154,844,125,247.34
  5. Step 5: Solve for x
    x = 154,844,125,247.34/548,148.54
  6. Step 6: Final answer
    x = 282,485.70

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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.