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Finding the Fourth Proportional to 358,598.31, 494,876.55 and 197,459.13

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Solution

The fourth proportional to 358,598.31, 494,876.55 and 197,459.13 is: 272,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,598.31 : 494,876.55 = 197,459.13 : x
  2. Step 2: Convert to fraction form
    358,598.31/494,876.55 = 197,459.13/x
  3. Step 3: Cross multiply
    358,598.31x = 494,876.55 × 197,459.13
  4. Step 4: Simplify right side
    358,598.31x = 97,717,893,020.40
  5. Step 5: Solve for x
    x = 97,717,893,020.40/358,598.31
  6. Step 6: Final answer
    x = 272,499.59

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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.