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Finding the Fourth Proportional to 506,564.20, 699,653.46 and 404,941.60

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Solution

The fourth proportional to 506,564.20, 699,653.46 and 404,941.60 is: 559,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,564.20 : 699,653.46 = 404,941.60 : x
  2. Step 2: Convert to fraction form
    506,564.20/699,653.46 = 404,941.60/x
  3. Step 3: Cross multiply
    506,564.20x = 699,653.46 × 404,941.60
  4. Step 4: Simplify right side
    506,564.20x = 283,318,791,537.94
  5. Step 5: Solve for x
    x = 283,318,791,537.94/506,564.20
  6. Step 6: Final answer
    x = 559,294.94

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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.