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Finding the Fourth Proportional to 314,369.14, 433,829.46 and 171,130.27

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Solution

The fourth proportional to 314,369.14, 433,829.46 and 171,130.27 is: 236,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,369.14 : 433,829.46 = 171,130.27 : x
  2. Step 2: Convert to fraction form
    314,369.14/433,829.46 = 171,130.27/x
  3. Step 3: Cross multiply
    314,369.14x = 433,829.46 × 171,130.27
  4. Step 4: Simplify right side
    314,369.14x = 74,241,352,623.75
  5. Step 5: Solve for x
    x = 74,241,352,623.75/314,369.14
  6. Step 6: Final answer
    x = 236,159.80

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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.