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Finding the Fourth Proportional to 565,430.31, 848,284.88 and 281,255.63

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Solution

The fourth proportional to 565,430.31, 848,284.88 and 281,255.63 is: 421,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,430.31 : 848,284.88 = 281,255.63 : x
  2. Step 2: Convert to fraction form
    565,430.31/848,284.88 = 281,255.63/x
  3. Step 3: Cross multiply
    565,430.31x = 848,284.88 × 281,255.63
  4. Step 4: Simplify right side
    565,430.31x = 238,584,892,696.17
  5. Step 5: Solve for x
    x = 238,584,892,696.17/565,430.31
  6. Step 6: Final answer
    x = 421,952.78

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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.