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Finding the Fourth Proportional to 337,516.40, 506,274.60 and 258,784.40

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Solution

The fourth proportional to 337,516.40, 506,274.60 and 258,784.40 is: 388,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,516.40 : 506,274.60 = 258,784.40 : x
  2. Step 2: Convert to fraction form
    337,516.40/506,274.60 = 258,784.40/x
  3. Step 3: Cross multiply
    337,516.40x = 506,274.60 × 258,784.40
  4. Step 4: Simplify right side
    337,516.40x = 131,015,968,596.24
  5. Step 5: Solve for x
    x = 131,015,968,596.24/337,516.40
  6. Step 6: Final answer
    x = 388,176.60

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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.