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Finding the Fourth Proportional to 277,501.31, 382,632.58 and 205,009.10

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Solution

The fourth proportional to 277,501.31, 382,632.58 and 205,009.10 is: 282,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,501.31 : 382,632.58 = 205,009.10 : x
  2. Step 2: Convert to fraction form
    277,501.31/382,632.58 = 205,009.10/x
  3. Step 3: Cross multiply
    277,501.31x = 382,632.58 × 205,009.10
  4. Step 4: Simplify right side
    277,501.31x = 78,443,160,856.48
  5. Step 5: Solve for x
    x = 78,443,160,856.48/277,501.31
  6. Step 6: Final answer
    x = 282,676.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.