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Finding the Fourth Proportional to 415,701.84, 573,285.96 and 272,409.84

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Solution

The fourth proportional to 415,701.84, 573,285.96 and 272,409.84 is: 375,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,701.84 : 573,285.96 = 272,409.84 : x
  2. Step 2: Convert to fraction form
    415,701.84/573,285.96 = 272,409.84/x
  3. Step 3: Cross multiply
    415,701.84x = 573,285.96 × 272,409.84
  4. Step 4: Simplify right side
    415,701.84x = 156,168,736,637.85
  5. Step 5: Solve for x
    x = 156,168,736,637.85/415,701.84
  6. Step 6: Final answer
    x = 375,674.87

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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.