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Finding the Fourth Proportional to 337,527.40, 506,291.10 and 307,978.60

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Solution

The fourth proportional to 337,527.40, 506,291.10 and 307,978.60 is: 461,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,527.40 : 506,291.10 = 307,978.60 : x
  2. Step 2: Convert to fraction form
    337,527.40/506,291.10 = 307,978.60/x
  3. Step 3: Cross multiply
    337,527.40x = 506,291.10 × 307,978.60
  4. Step 4: Simplify right side
    337,527.40x = 155,926,824,170.46
  5. Step 5: Solve for x
    x = 155,926,824,170.46/337,527.40
  6. Step 6: Final answer
    x = 461,967.90

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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.