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Finding the Fourth Proportional to 292,271.70, 438,580.35 and 213,186.90

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Solution

The fourth proportional to 292,271.70, 438,580.35 and 213,186.90 is: 319,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,271.70 : 438,580.35 = 213,186.90 : x
  2. Step 2: Convert to fraction form
    292,271.70/438,580.35 = 213,186.90/x
  3. Step 3: Cross multiply
    292,271.70x = 438,580.35 × 213,186.90
  4. Step 4: Simplify right side
    292,271.70x = 93,499,585,217.42
  5. Step 5: Solve for x
    x = 93,499,585,217.42/292,271.70
  6. Step 6: Final answer
    x = 319,906.39

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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.