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Finding the Fourth Proportional to 314,928.61, 434,609.75 and 194,149.71

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Solution

The fourth proportional to 314,928.61, 434,609.75 and 194,149.71 is: 267,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928.61 : 434,609.75 = 194,149.71 : x
  2. Step 2: Convert to fraction form
    314,928.61/434,609.75 = 194,149.71/x
  3. Step 3: Cross multiply
    314,928.61x = 434,609.75 × 194,149.71
  4. Step 4: Simplify right side
    314,928.61x = 84,379,357,411.05
  5. Step 5: Solve for x
    x = 84,379,357,411.05/314,928.61
  6. Step 6: Final answer
    x = 267,931.70

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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.