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Finding the Fourth Proportional to 420,209.72, 579,885.70 and 229,219

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Solution

The fourth proportional to 420,209.72, 579,885.70 and 229,219 is: 316,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,209.72 : 579,885.70 = 229,219 : x
  2. Step 2: Convert to fraction form
    420,209.72/579,885.70 = 229,219/x
  3. Step 3: Cross multiply
    420,209.72x = 579,885.70 × 229,219
  4. Step 4: Simplify right side
    420,209.72x = 132,920,820,268.30
  5. Step 5: Solve for x
    x = 132,920,820,268.30/420,209.72
  6. Step 6: Final answer
    x = 316,320.19

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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.