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Finding the Fourth Proportional to 517,457.82, 776,285.40 and 180,594.69

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Solution

The fourth proportional to 517,457.82, 776,285.40 and 180,594.69 is: 270,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,457.82 : 776,285.40 = 180,594.69 : x
  2. Step 2: Convert to fraction form
    517,457.82/776,285.40 = 180,594.69/x
  3. Step 3: Cross multiply
    517,457.82x = 776,285.40 × 180,594.69
  4. Step 4: Simplify right side
    517,457.82x = 140,193,021,164.53
  5. Step 5: Solve for x
    x = 140,193,021,164.53/517,457.82
  6. Step 6: Final answer
    x = 270,926.47

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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.