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Finding the Fourth Proportional to 506,448.78, 698,845.97 and 302,471.39

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Solution

The fourth proportional to 506,448.78, 698,845.97 and 302,471.39 is: 417,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,448.78 : 698,845.97 = 302,471.39 : x
  2. Step 2: Convert to fraction form
    506,448.78/698,845.97 = 302,471.39/x
  3. Step 3: Cross multiply
    506,448.78x = 698,845.97 × 302,471.39
  4. Step 4: Simplify right side
    506,448.78x = 211,380,911,941.80
  5. Step 5: Solve for x
    x = 211,380,911,941.80/506,448.78
  6. Step 6: Final answer
    x = 417,378.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.