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Finding the Fourth Proportional to 314,354.57, 471,532 and 103,992.50

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Solution

The fourth proportional to 314,354.57, 471,532 and 103,992.50 is: 155,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,354.57 : 471,532 = 103,992.50 : x
  2. Step 2: Convert to fraction form
    314,354.57/471,532 = 103,992.50/x
  3. Step 3: Cross multiply
    314,354.57x = 471,532 × 103,992.50
  4. Step 4: Simplify right side
    314,354.57x = 49,035,791,510
  5. Step 5: Solve for x
    x = 49,035,791,510/314,354.57
  6. Step 6: Final answer
    x = 155,988.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.