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Finding the Fourth Proportional to 567,116.64, 851,199.84 and 286,830.72

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Solution

The fourth proportional to 567,116.64, 851,199.84 and 286,830.72 is: 430,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,116.64 : 851,199.84 = 286,830.72 : x
  2. Step 2: Convert to fraction form
    567,116.64/851,199.84 = 286,830.72/x
  3. Step 3: Cross multiply
    567,116.64x = 851,199.84 × 286,830.72
  4. Step 4: Simplify right side
    567,116.64x = 244,150,262,971.09
  5. Step 5: Solve for x
    x = 244,150,262,971.09/567,116.64
  6. Step 6: Final answer
    x = 430,511.55

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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.