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Finding the Fourth Proportional to 462,174.72, 693,264.60 and 142,322.64

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Solution

The fourth proportional to 462,174.72, 693,264.60 and 142,322.64 is: 213,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,174.72 : 693,264.60 = 142,322.64 : x
  2. Step 2: Convert to fraction form
    462,174.72/693,264.60 = 142,322.64/x
  3. Step 3: Cross multiply
    462,174.72x = 693,264.60 × 142,322.64
  4. Step 4: Simplify right side
    462,174.72x = 98,667,248,090.54
  5. Step 5: Solve for x
    x = 98,667,248,090.54/462,174.72
  6. Step 6: Final answer
    x = 213,484.74

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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.