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Finding the Fourth Proportional to 314,369.39, 433,829.81 and 171,130.52

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Solution

The fourth proportional to 314,369.39, 433,829.81 and 171,130.52 is: 236,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,369.39 : 433,829.81 = 171,130.52 : x
  2. Step 2: Convert to fraction form
    314,369.39/433,829.81 = 171,130.52/x
  3. Step 3: Cross multiply
    314,369.39x = 433,829.81 × 171,130.52
  4. Step 4: Simplify right side
    314,369.39x = 74,241,517,952.00
  5. Step 5: Solve for x
    x = 74,241,517,952.00/314,369.39
  6. Step 6: Final answer
    x = 236,160.14

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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.