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Finding the Fourth Proportional to 510,534.19, 704,603.24 and 292,827.79

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Solution

The fourth proportional to 510,534.19, 704,603.24 and 292,827.79 is: 404,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,534.19 : 704,603.24 = 292,827.79 : x
  2. Step 2: Convert to fraction form
    510,534.19/704,603.24 = 292,827.79/x
  3. Step 3: Cross multiply
    510,534.19x = 704,603.24 × 292,827.79
  4. Step 4: Simplify right side
    510,534.19x = 206,327,409,596.04
  5. Step 5: Solve for x
    x = 206,327,409,596.04/510,534.19
  6. Step 6: Final answer
    x = 404,140.24

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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.