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Finding the Fourth Proportional to 335,502, 462,992.76 and 184,599

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Solution

The fourth proportional to 335,502, 462,992.76 and 184,599 is: 254,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,502 : 462,992.76 = 184,599 : x
  2. Step 2: Convert to fraction form
    335,502/462,992.76 = 184,599/x
  3. Step 3: Cross multiply
    335,502x = 462,992.76 × 184,599
  4. Step 4: Simplify right side
    335,502x = 85,468,000,503.24
  5. Step 5: Solve for x
    x = 85,468,000,503.24/335,502
  6. Step 6: Final answer
    x = 254,746.62

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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.