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Finding the Fourth Proportional to 469,635.72, 704,015.33 and 185,328.63

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Solution

The fourth proportional to 469,635.72, 704,015.33 and 185,328.63 is: 277,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,635.72 : 704,015.33 = 185,328.63 : x
  2. Step 2: Convert to fraction form
    469,635.72/704,015.33 = 185,328.63/x
  3. Step 3: Cross multiply
    469,635.72x = 704,015.33 × 185,328.63
  4. Step 4: Simplify right side
    469,635.72x = 130,474,196,376.24
  5. Step 5: Solve for x
    x = 130,474,196,376.24/469,635.72
  6. Step 6: Final answer
    x = 277,820.00

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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.