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Finding the Fourth Proportional to 492,055.90, 738,256.65 and 211,659.10

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Solution

The fourth proportional to 492,055.90, 738,256.65 and 211,659.10 is: 317,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,055.90 : 738,256.65 = 211,659.10 : x
  2. Step 2: Convert to fraction form
    492,055.90/738,256.65 = 211,659.10/x
  3. Step 3: Cross multiply
    492,055.90x = 738,256.65 × 211,659.10
  4. Step 4: Simplify right side
    492,055.90x = 156,258,738,108.02
  5. Step 5: Solve for x
    x = 156,258,738,108.02/492,055.90
  6. Step 6: Final answer
    x = 317,562.98

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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.