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Finding the Fourth Proportional to 456,173.16, 684,194.94 and 156,648.84

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Solution

The fourth proportional to 456,173.16, 684,194.94 and 156,648.84 is: 234,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,173.16 : 684,194.94 = 156,648.84 : x
  2. Step 2: Convert to fraction form
    456,173.16/684,194.94 = 156,648.84/x
  3. Step 3: Cross multiply
    456,173.16x = 684,194.94 × 156,648.84
  4. Step 4: Simplify right side
    456,173.16x = 107,178,343,684.87
  5. Step 5: Solve for x
    x = 107,178,343,684.87/456,173.16
  6. Step 6: Final answer
    x = 234,951.01

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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.