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Finding the Fourth Proportional to 420,883.29, 580,634.00 and 257,547.57

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Solution

The fourth proportional to 420,883.29, 580,634.00 and 257,547.57 is: 355,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,883.29 : 580,634.00 = 257,547.57 : x
  2. Step 2: Convert to fraction form
    420,883.29/580,634.00 = 257,547.57/x
  3. Step 3: Cross multiply
    420,883.29x = 580,634.00 × 257,547.57
  4. Step 4: Simplify right side
    420,883.29x = 149,540,877,434.82
  5. Step 5: Solve for x
    x = 149,540,877,434.82/420,883.29
  6. Step 6: Final answer
    x = 355,302.48

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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.