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Finding the Fourth Proportional to 305,726.50, 459,200.95 and 184,389.62

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Solution

The fourth proportional to 305,726.50, 459,200.95 and 184,389.62 is: 276,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,726.50 : 459,200.95 = 184,389.62 : x
  2. Step 2: Convert to fraction form
    305,726.50/459,200.95 = 184,389.62/x
  3. Step 3: Cross multiply
    305,726.50x = 459,200.95 × 184,389.62
  4. Step 4: Simplify right side
    305,726.50x = 84,671,885,917.16
  5. Step 5: Solve for x
    x = 84,671,885,917.16/305,726.50
  6. Step 6: Final answer
    x = 276,953.05

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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.