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Finding the Fourth Proportional to 514,333.96, 771,551.72 and 177,330.30

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Solution

The fourth proportional to 514,333.96, 771,551.72 and 177,330.30 is: 266,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,333.96 : 771,551.72 = 177,330.30 : x
  2. Step 2: Convert to fraction form
    514,333.96/771,551.72 = 177,330.30/x
  3. Step 3: Cross multiply
    514,333.96x = 771,551.72 × 177,330.30
  4. Step 4: Simplify right side
    514,333.96x = 136,819,497,973.12
  5. Step 5: Solve for x
    x = 136,819,497,973.12/514,333.96
  6. Step 6: Final answer
    x = 266,012.96

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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.