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Finding the Fourth Proportional to 456,308.28, 684,410.12 and 119,381.45

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Solution

The fourth proportional to 456,308.28, 684,410.12 and 119,381.45 is: 179,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,308.28 : 684,410.12 = 119,381.45 : x
  2. Step 2: Convert to fraction form
    456,308.28/684,410.12 = 119,381.45/x
  3. Step 3: Cross multiply
    456,308.28x = 684,410.12 × 119,381.45
  4. Step 4: Simplify right side
    456,308.28x = 81,705,868,501.32
  5. Step 5: Solve for x
    x = 81,705,868,501.32/456,308.28
  6. Step 6: Final answer
    x = 179,058.48

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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.