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Finding the Fourth Proportional to 410,824.80, 616,237.20 and 233,677.80

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Solution

The fourth proportional to 410,824.80, 616,237.20 and 233,677.80 is: 350,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,824.80 : 616,237.20 = 233,677.80 : x
  2. Step 2: Convert to fraction form
    410,824.80/616,237.20 = 233,677.80/x
  3. Step 3: Cross multiply
    410,824.80x = 616,237.20 × 233,677.80
  4. Step 4: Simplify right side
    410,824.80x = 144,000,953,174.16
  5. Step 5: Solve for x
    x = 144,000,953,174.16/410,824.80
  6. Step 6: Final answer
    x = 350,516.70

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1.5x scale

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.