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Finding the Fourth Proportional to 456,330.60, 684,443.52 and 119,403.84

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Solution

The fourth proportional to 456,330.60, 684,443.52 and 119,403.84 is: 179,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,330.60 : 684,443.52 = 119,403.84 : x
  2. Step 2: Convert to fraction form
    456,330.60/684,443.52 = 119,403.84/x
  3. Step 3: Cross multiply
    456,330.60x = 684,443.52 × 119,403.84
  4. Step 4: Simplify right side
    456,330.60x = 81,725,184,551.12
  5. Step 5: Solve for x
    x = 81,725,184,551.12/456,330.60
  6. Step 6: Final answer
    x = 179,092.05

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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.