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Finding the Fourth Proportional to 469,530.96, 704,308.58 and 127,977.20

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Solution

The fourth proportional to 469,530.96, 704,308.58 and 127,977.20 is: 191,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,530.96 : 704,308.58 = 127,977.20 : x
  2. Step 2: Convert to fraction form
    469,530.96/704,308.58 = 127,977.20/x
  3. Step 3: Cross multiply
    469,530.96x = 704,308.58 × 127,977.20
  4. Step 4: Simplify right side
    469,530.96x = 90,135,437,603.72
  5. Step 5: Solve for x
    x = 90,135,437,603.72/469,530.96
  6. Step 6: Final answer
    x = 191,969.10

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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.