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Finding the Fourth Proportional to 276,977.90, 415,927.65 and 152,408.30

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Solution

The fourth proportional to 276,977.90, 415,927.65 and 152,408.30 is: 228,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,977.90 : 415,927.65 = 152,408.30 : x
  2. Step 2: Convert to fraction form
    276,977.90/415,927.65 = 152,408.30/x
  3. Step 3: Cross multiply
    276,977.90x = 415,927.65 × 152,408.30
  4. Step 4: Simplify right side
    276,977.90x = 63,390,826,059.50
  5. Step 5: Solve for x
    x = 63,390,826,059.50/276,977.90
  6. Step 6: Final answer
    x = 228,866.01

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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.