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Finding the Fourth Proportional to 434,735.20, 652,102.80 and 266,773.60

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Solution

The fourth proportional to 434,735.20, 652,102.80 and 266,773.60 is: 400,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,735.20 : 652,102.80 = 266,773.60 : x
  2. Step 2: Convert to fraction form
    434,735.20/652,102.80 = 266,773.60/x
  3. Step 3: Cross multiply
    434,735.20x = 652,102.80 × 266,773.60
  4. Step 4: Simplify right side
    434,735.20x = 173,963,811,526.08
  5. Step 5: Solve for x
    x = 173,963,811,526.08/434,735.20
  6. Step 6: Final answer
    x = 400,160.40

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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.