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Finding the Fourth Proportional to 456,224.90, 684,272.55 and 156,719.30

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Solution

The fourth proportional to 456,224.90, 684,272.55 and 156,719.30 is: 235,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,224.90 : 684,272.55 = 156,719.30 : x
  2. Step 2: Convert to fraction form
    456,224.90/684,272.55 = 156,719.30/x
  3. Step 3: Cross multiply
    456,224.90x = 684,272.55 × 156,719.30
  4. Step 4: Simplify right side
    456,224.90x = 107,238,715,045.22
  5. Step 5: Solve for x
    x = 107,238,715,045.22/456,224.90
  6. Step 6: Final answer
    x = 235,056.69

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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.