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Finding the Fourth Proportional to 771,861.38, 1,065,168.71 and 470,055.38

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Solution

The fourth proportional to 771,861.38, 1,065,168.71 and 470,055.38 is: 648,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,861.38 : 1,065,168.71 = 470,055.38 : x
  2. Step 2: Convert to fraction form
    771,861.38/1,065,168.71 = 470,055.38/x
  3. Step 3: Cross multiply
    771,861.38x = 1,065,168.71 × 470,055.38
  4. Step 4: Simplify right side
    771,861.38x = 500,688,275,067.04
  5. Step 5: Solve for x
    x = 500,688,275,067.04/771,861.38
  6. Step 6: Final answer
    x = 648,676.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.