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Finding the Fourth Proportional to 471,676.69, 650,925.50 and 256,828.51

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Solution

The fourth proportional to 471,676.69, 650,925.50 and 256,828.51 is: 354,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,676.69 : 650,925.50 = 256,828.51 : x
  2. Step 2: Convert to fraction form
    471,676.69/650,925.50 = 256,828.51/x
  3. Step 3: Cross multiply
    471,676.69x = 650,925.50 × 256,828.51
  4. Step 4: Simplify right side
    471,676.69x = 167,176,226,286.01
  5. Step 5: Solve for x
    x = 167,176,226,286.01/471,676.69
  6. Step 6: Final answer
    x = 354,429.70

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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.