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Finding the Fourth Proportional to 456,242.90, 684,299.55 and 156,737.30

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Solution

The fourth proportional to 456,242.90, 684,299.55 and 156,737.30 is: 235,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,242.90 : 684,299.55 = 156,737.30 : x
  2. Step 2: Convert to fraction form
    456,242.90/684,299.55 = 156,737.30/x
  3. Step 3: Cross multiply
    456,242.90x = 684,299.55 × 156,737.30
  4. Step 4: Simplify right side
    456,242.90x = 107,255,263,858.22
  5. Step 5: Solve for x
    x = 107,255,263,858.22/456,242.90
  6. Step 6: Final answer
    x = 235,083.69

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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.