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Finding the Fourth Proportional to 514,289.22, 771,484.56 and 177,285.48

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Solution

The fourth proportional to 514,289.22, 771,484.56 and 177,285.48 is: 265,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,289.22 : 771,484.56 = 177,285.48 : x
  2. Step 2: Convert to fraction form
    514,289.22/771,484.56 = 177,285.48/x
  3. Step 3: Cross multiply
    514,289.22x = 771,484.56 × 177,285.48
  4. Step 4: Simplify right side
    514,289.22x = 136,773,010,532.19
  5. Step 5: Solve for x
    x = 136,773,010,532.19/514,289.22
  6. Step 6: Final answer
    x = 265,945.71

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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.