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Finding the Fourth Proportional to 358,386.30, 494,573.40 and 197,253

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Solution

The fourth proportional to 358,386.30, 494,573.40 and 197,253 is: 272,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,386.30 : 494,573.40 = 197,253 : x
  2. Step 2: Convert to fraction form
    358,386.30/494,573.40 = 197,253/x
  3. Step 3: Cross multiply
    358,386.30x = 494,573.40 × 197,253
  4. Step 4: Simplify right side
    358,386.30x = 97,556,086,870.20
  5. Step 5: Solve for x
    x = 97,556,086,870.20/358,386.30
  6. Step 6: Final answer
    x = 272,209.31

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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.