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Finding the Fourth Proportional to 314,369.76, 433,834.80 and 171,134.28

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Solution

The fourth proportional to 314,369.76, 433,834.80 and 171,134.28 is: 236,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,369.76 : 433,834.80 = 171,134.28 : x
  2. Step 2: Convert to fraction form
    314,369.76/433,834.80 = 171,134.28/x
  3. Step 3: Cross multiply
    314,369.76x = 433,834.80 × 171,134.28
  4. Step 4: Simplify right side
    314,369.76x = 74,244,006,136.94
  5. Step 5: Solve for x
    x = 74,244,006,136.94/314,369.76
  6. Step 6: Final answer
    x = 236,167.77

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1.5x scale

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.