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Finding the Fourth Proportional to 276,710.40, 415,065.60 and 176,983.20

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Solution

The fourth proportional to 276,710.40, 415,065.60 and 176,983.20 is: 265,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,710.40 : 415,065.60 = 176,983.20 : x
  2. Step 2: Convert to fraction form
    276,710.40/415,065.60 = 176,983.20/x
  3. Step 3: Cross multiply
    276,710.40x = 415,065.60 × 176,983.20
  4. Step 4: Simplify right side
    276,710.40x = 73,459,638,097.92
  5. Step 5: Solve for x
    x = 73,459,638,097.92/276,710.40
  6. Step 6: Final answer
    x = 265,474.80

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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.