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Finding the Fourth Proportional to 355,345.29, 533,073.32 and 213,157.14

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Solution

The fourth proportional to 355,345.29, 533,073.32 and 213,157.14 is: 319,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,345.29 : 533,073.32 = 213,157.14 : x
  2. Step 2: Convert to fraction form
    355,345.29/533,073.32 = 213,157.14/x
  3. Step 3: Cross multiply
    355,345.29x = 533,073.32 × 213,157.14
  4. Step 4: Simplify right side
    355,345.29x = 113,628,386,233.58
  5. Step 5: Solve for x
    x = 113,628,386,233.58/355,345.29
  6. Step 6: Final answer
    x = 319,768.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.