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Finding the Fourth Proportional to 592,478.72, 816,770.08 and 422,417.60

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Solution

The fourth proportional to 592,478.72, 816,770.08 and 422,417.60 is: 582,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,478.72 : 816,770.08 = 422,417.60 : x
  2. Step 2: Convert to fraction form
    592,478.72/816,770.08 = 422,417.60/x
  3. Step 3: Cross multiply
    592,478.72x = 816,770.08 × 422,417.60
  4. Step 4: Simplify right side
    592,478.72x = 345,018,056,945.41
  5. Step 5: Solve for x
    x = 345,018,056,945.41/592,478.72
  6. Step 6: Final answer
    x = 582,329.87

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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.