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Finding the Fourth Proportional to 511,455.96, 767,214.66 and 156,473.04

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Solution

The fourth proportional to 511,455.96, 767,214.66 and 156,473.04 is: 234,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,455.96 : 767,214.66 = 156,473.04 : x
  2. Step 2: Convert to fraction form
    511,455.96/767,214.66 = 156,473.04/x
  3. Step 3: Cross multiply
    511,455.96x = 767,214.66 × 156,473.04
  4. Step 4: Simplify right side
    511,455.96x = 120,048,410,182.77
  5. Step 5: Solve for x
    x = 120,048,410,182.77/511,455.96
  6. Step 6: Final answer
    x = 234,718.96

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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.