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Finding the Fourth Proportional to 517,445.82, 776,267.40 and 180,582.69

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Solution

The fourth proportional to 517,445.82, 776,267.40 and 180,582.69 is: 270,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,445.82 : 776,267.40 = 180,582.69 : x
  2. Step 2: Convert to fraction form
    517,445.82/776,267.40 = 180,582.69/x
  3. Step 3: Cross multiply
    517,445.82x = 776,267.40 × 180,582.69
  4. Step 4: Simplify right side
    517,445.82x = 140,180,455,251.31
  5. Step 5: Solve for x
    x = 140,180,455,251.31/517,445.82
  6. Step 6: Final answer
    x = 270,908.47

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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.