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Finding the Fourth Proportional to 501,663.19, 692,249.52 and 297,679

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Solution

The fourth proportional to 501,663.19, 692,249.52 and 297,679 is: 410,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,663.19 : 692,249.52 = 297,679 : x
  2. Step 2: Convert to fraction form
    501,663.19/692,249.52 = 297,679/x
  3. Step 3: Cross multiply
    501,663.19x = 692,249.52 × 297,679
  4. Step 4: Simplify right side
    501,663.19x = 206,068,144,864.08
  5. Step 5: Solve for x
    x = 206,068,144,864.08/501,663.19
  6. Step 6: Final answer
    x = 410,769.91

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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.