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Finding the Fourth Proportional to 357,174.16, 492,864.45 and 213,930.52

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Solution

The fourth proportional to 357,174.16, 492,864.45 and 213,930.52 is: 295,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,174.16 : 492,864.45 = 213,930.52 : x
  2. Step 2: Convert to fraction form
    357,174.16/492,864.45 = 213,930.52/x
  3. Step 3: Cross multiply
    357,174.16x = 492,864.45 × 213,930.52
  4. Step 4: Simplify right side
    357,174.16x = 105,438,746,043.61
  5. Step 5: Solve for x
    x = 105,438,746,043.61/357,174.16
  6. Step 6: Final answer
    x = 295,202.62

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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.