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Finding the Fourth Proportional to 514,590.09, 771,848.06 and 159,594.89

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Solution

The fourth proportional to 514,590.09, 771,848.06 and 159,594.89 is: 239,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,590.09 : 771,848.06 = 159,594.89 : x
  2. Step 2: Convert to fraction form
    514,590.09/771,848.06 = 159,594.89/x
  3. Step 3: Cross multiply
    514,590.09x = 771,848.06 × 159,594.89
  4. Step 4: Simplify right side
    514,590.09x = 123,183,001,575.20
  5. Step 5: Solve for x
    x = 123,183,001,575.20/514,590.09
  6. Step 6: Final answer
    x = 239,380.83

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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.