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Finding the Fourth Proportional to 420,259.84, 579,959.94 and 229,277.23

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Solution

The fourth proportional to 420,259.84, 579,959.94 and 229,277.23 is: 316,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,259.84 : 579,959.94 = 229,277.23 : x
  2. Step 2: Convert to fraction form
    420,259.84/579,959.94 = 229,277.23/x
  3. Step 3: Cross multiply
    420,259.84x = 579,959.94 × 229,277.23
  4. Step 4: Simplify right side
    420,259.84x = 132,971,608,554.17
  5. Step 5: Solve for x
    x = 132,971,608,554.17/420,259.84
  6. Step 6: Final answer
    x = 316,403.32

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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.