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Finding the Fourth Proportional to 385,670.84, 578,446.86 and 105,209.96

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Solution

The fourth proportional to 385,670.84, 578,446.86 and 105,209.96 is: 157,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,670.84 : 578,446.86 = 105,209.96 : x
  2. Step 2: Convert to fraction form
    385,670.84/578,446.86 = 105,209.96/x
  3. Step 3: Cross multiply
    385,670.84x = 578,446.86 × 105,209.96
  4. Step 4: Simplify right side
    385,670.84x = 60,858,371,002.73
  5. Step 5: Solve for x
    x = 60,858,371,002.73/385,670.84
  6. Step 6: Final answer
    x = 157,798.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.