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Finding the Fourth Proportional to 456,830.60, 683,301.90 and 409,785.80

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Solution

The fourth proportional to 456,830.60, 683,301.90 and 409,785.80 is: 612,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,830.60 : 683,301.90 = 409,785.80 : x
  2. Step 2: Convert to fraction form
    456,830.60/683,301.90 = 409,785.80/x
  3. Step 3: Cross multiply
    456,830.60x = 683,301.90 × 409,785.80
  4. Step 4: Simplify right side
    456,830.60x = 280,007,415,733.02
  5. Step 5: Solve for x
    x = 280,007,415,733.02/456,830.60
  6. Step 6: Final answer
    x = 612,934.89

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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.