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Finding the Fourth Proportional to 305,502.38, 421,574.22 and 184,572.20

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Solution

The fourth proportional to 305,502.38, 421,574.22 and 184,572.20 is: 254,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,502.38 : 421,574.22 = 184,572.20 : x
  2. Step 2: Convert to fraction form
    305,502.38/421,574.22 = 184,572.20/x
  3. Step 3: Cross multiply
    305,502.38x = 421,574.22 × 184,572.20
  4. Step 4: Simplify right side
    305,502.38x = 77,810,881,248.68
  5. Step 5: Solve for x
    x = 77,810,881,248.68/305,502.38
  6. Step 6: Final answer
    x = 254,698.12

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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.