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Finding the Fourth Proportional to 506,123.40, 697,997.62 and 419,945.69

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Solution

The fourth proportional to 506,123.40, 697,997.62 and 419,945.69 is: 579,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,123.40 : 697,997.62 = 419,945.69 : x
  2. Step 2: Convert to fraction form
    506,123.40/697,997.62 = 419,945.69/x
  3. Step 3: Cross multiply
    506,123.40x = 697,997.62 × 419,945.69
  4. Step 4: Simplify right side
    506,123.40x = 293,121,093,341.88
  5. Step 5: Solve for x
    x = 293,121,093,341.88/506,123.40
  6. Step 6: Final answer
    x = 579,149.46

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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.