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Finding the Fourth Proportional to 471,354.19, 650,482.46 and 256,508.11

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Solution

The fourth proportional to 471,354.19, 650,482.46 and 256,508.11 is: 353,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,354.19 : 650,482.46 = 256,508.11 : x
  2. Step 2: Convert to fraction form
    471,354.19/650,482.46 = 256,508.11/x
  3. Step 3: Cross multiply
    471,354.19x = 650,482.46 × 256,508.11
  4. Step 4: Simplify right side
    471,354.19x = 166,854,026,402.75
  5. Step 5: Solve for x
    x = 166,854,026,402.75/471,354.19
  6. Step 6: Final answer
    x = 353,988.64

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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.