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Finding the Fourth Proportional to 456,657.52, 684,989.20 and 119,695.25

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Solution

The fourth proportional to 456,657.52, 684,989.20 and 119,695.25 is: 179,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,657.52 : 684,989.20 = 119,695.25 : x
  2. Step 2: Convert to fraction form
    456,657.52/684,989.20 = 119,695.25/x
  3. Step 3: Cross multiply
    456,657.52x = 684,989.20 × 119,695.25
  4. Step 4: Simplify right side
    456,657.52x = 81,989,953,541.30
  5. Step 5: Solve for x
    x = 81,989,953,541.30/456,657.52
  6. Step 6: Final answer
    x = 179,543.64

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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.