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Finding the Fourth Proportional to 362,176.70, 542,827.65 and 184,592.30

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Solution

The fourth proportional to 362,176.70, 542,827.65 and 184,592.30 is: 276,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,176.70 : 542,827.65 = 184,592.30 : x
  2. Step 2: Convert to fraction form
    362,176.70/542,827.65 = 184,592.30/x
  3. Step 3: Cross multiply
    362,176.70x = 542,827.65 × 184,592.30
  4. Step 4: Simplify right side
    362,176.70x = 100,201,804,417.10
  5. Step 5: Solve for x
    x = 100,201,804,417.10/362,176.70
  6. Step 6: Final answer
    x = 276,665.52

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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.