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Finding the Fourth Proportional to 456,977.72, 630,606.84 and 253,022.96

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Solution

The fourth proportional to 456,977.72, 630,606.84 and 253,022.96 is: 349,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,977.72 : 630,606.84 = 253,022.96 : x
  2. Step 2: Convert to fraction form
    456,977.72/630,606.84 = 253,022.96/x
  3. Step 3: Cross multiply
    456,977.72x = 630,606.84 × 253,022.96
  4. Step 4: Simplify right side
    456,977.72x = 159,558,009,880.73
  5. Step 5: Solve for x
    x = 159,558,009,880.73/456,977.72
  6. Step 6: Final answer
    x = 349,159.27

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Why These Related Problems?

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