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Finding the Fourth Proportional to 420,253.47, 579,938.28 and 229,266.81

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Solution

The fourth proportional to 420,253.47, 579,938.28 and 229,266.81 is: 316,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,253.47 : 579,938.28 = 229,266.81 : x
  2. Step 2: Convert to fraction form
    420,253.47/579,938.28 = 229,266.81/x
  3. Step 3: Cross multiply
    420,253.47x = 579,938.28 × 229,266.81
  4. Step 4: Simplify right side
    420,253.47x = 132,960,599,452.49
  5. Step 5: Solve for x
    x = 132,960,599,452.49/420,253.47
  6. Step 6: Final answer
    x = 316,381.92

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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.