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Finding the Fourth Proportional to 853,628.64, 1,178,005.10 and 471,652.70

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Solution

The fourth proportional to 853,628.64, 1,178,005.10 and 471,652.70 is: 650,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,628.64 : 1,178,005.10 = 471,652.70 : x
  2. Step 2: Convert to fraction form
    853,628.64/1,178,005.10 = 471,652.70/x
  3. Step 3: Cross multiply
    853,628.64x = 1,178,005.10 × 471,652.70
  4. Step 4: Simplify right side
    853,628.64x = 555,609,286,028.77
  5. Step 5: Solve for x
    x = 555,609,286,028.77/853,628.64
  6. Step 6: Final answer
    x = 650,879.39

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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.