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Finding the Fourth Proportional to 347,547.96, 479,504.70 and 194,563.65

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Solution

The fourth proportional to 347,547.96, 479,504.70 and 194,563.65 is: 268,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,547.96 : 479,504.70 = 194,563.65 : x
  2. Step 2: Convert to fraction form
    347,547.96/479,504.70 = 194,563.65/x
  3. Step 3: Cross multiply
    347,547.96x = 479,504.70 × 194,563.65
  4. Step 4: Simplify right side
    347,547.96x = 93,294,184,624.16
  5. Step 5: Solve for x
    x = 93,294,184,624.16/347,547.96
  6. Step 6: Final answer
    x = 268,435.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.