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Finding the Fourth Proportional to 358,537.12, 494,762.40 and 197,360.68

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Solution

The fourth proportional to 358,537.12, 494,762.40 and 197,360.68 is: 272,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,537.12 : 494,762.40 = 197,360.68 : x
  2. Step 2: Convert to fraction form
    358,537.12/494,762.40 = 197,360.68/x
  3. Step 3: Cross multiply
    358,537.12x = 494,762.40 × 197,360.68
  4. Step 4: Simplify right side
    358,537.12x = 97,646,643,702.43
  5. Step 5: Solve for x
    x = 97,646,643,702.43/358,537.12
  6. Step 6: Final answer
    x = 272,347.38

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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.