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Finding the Fourth Proportional to 435,635.60, 653,453.40 and 286,336.40

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Solution

The fourth proportional to 435,635.60, 653,453.40 and 286,336.40 is: 429,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,635.60 : 653,453.40 = 286,336.40 : x
  2. Step 2: Convert to fraction form
    435,635.60/653,453.40 = 286,336.40/x
  3. Step 3: Cross multiply
    435,635.60x = 653,453.40 × 286,336.40
  4. Step 4: Simplify right side
    435,635.60x = 187,107,494,123.76
  5. Step 5: Solve for x
    x = 187,107,494,123.76/435,635.60
  6. Step 6: Final answer
    x = 429,504.60

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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.