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Finding the Fourth Proportional to 420,070.68, 579,742.48 and 256,822.97

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Solution

The fourth proportional to 420,070.68, 579,742.48 and 256,822.97 is: 354,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,070.68 : 579,742.48 = 256,822.97 : x
  2. Step 2: Convert to fraction form
    420,070.68/579,742.48 = 256,822.97/x
  3. Step 3: Cross multiply
    420,070.68x = 579,742.48 × 256,822.97
  4. Step 4: Simplify right side
    420,070.68x = 148,891,185,548.77
  5. Step 5: Solve for x
    x = 148,891,185,548.77/420,070.68
  6. Step 6: Final answer
    x = 354,443.18

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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.