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Finding the Fourth Proportional to 358,406.56, 494,597.28 and 197,258.14

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Solution

The fourth proportional to 358,406.56, 494,597.28 and 197,258.14 is: 272,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,406.56 : 494,597.28 = 197,258.14 : x
  2. Step 2: Convert to fraction form
    358,406.56/494,597.28 = 197,258.14/x
  3. Step 3: Cross multiply
    358,406.56x = 494,597.28 × 197,258.14
  4. Step 4: Simplify right side
    358,406.56x = 97,563,339,501.86
  5. Step 5: Solve for x
    x = 97,563,339,501.86/358,406.56
  6. Step 6: Final answer
    x = 272,214.16

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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.