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Finding the Fourth Proportional to 315,171.47, 434,936.03 and 171,931.47

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Solution

The fourth proportional to 315,171.47, 434,936.03 and 171,931.47 is: 237,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,171.47 : 434,936.03 = 171,931.47 : x
  2. Step 2: Convert to fraction form
    315,171.47/434,936.03 = 171,931.47/x
  3. Step 3: Cross multiply
    315,171.47x = 434,936.03 × 171,931.47
  4. Step 4: Simplify right side
    315,171.47x = 74,779,190,134.21
  5. Step 5: Solve for x
    x = 74,779,190,134.21/315,171.47
  6. Step 6: Final answer
    x = 237,265.10

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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.