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Finding the Fourth Proportional to 567,851.64, 852,302.34 and 287,565.72

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Solution

The fourth proportional to 567,851.64, 852,302.34 and 287,565.72 is: 431,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,851.64 : 852,302.34 = 287,565.72 : x
  2. Step 2: Convert to fraction form
    567,851.64/852,302.34 = 287,565.72/x
  3. Step 3: Cross multiply
    567,851.64x = 852,302.34 × 287,565.72
  4. Step 4: Simplify right side
    567,851.64x = 245,092,936,059.79
  5. Step 5: Solve for x
    x = 245,092,936,059.79/567,851.64
  6. Step 6: Final answer
    x = 431,614.38

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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.