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Finding the Fourth Proportional to 567,246.64, 851,394.92 and 286,960.72

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Solution

The fourth proportional to 567,246.64, 851,394.92 and 286,960.72 is: 430,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,246.64 : 851,394.92 = 286,960.72 : x
  2. Step 2: Convert to fraction form
    567,246.64/851,394.92 = 286,960.72/x
  3. Step 3: Cross multiply
    567,246.64x = 851,394.92 × 286,960.72
  4. Step 4: Simplify right side
    567,246.64x = 244,316,899,247.54
  5. Step 5: Solve for x
    x = 244,316,899,247.54/567,246.64
  6. Step 6: Final answer
    x = 430,706.65

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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.