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Finding the Fourth Proportional to 466,420.43, 698,509.47 and 266,133.60

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Solution

The fourth proportional to 466,420.43, 698,509.47 and 266,133.60 is: 398,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,420.43 : 698,509.47 = 266,133.60 : x
  2. Step 2: Convert to fraction form
    466,420.43/698,509.47 = 266,133.60/x
  3. Step 3: Cross multiply
    466,420.43x = 698,509.47 × 266,133.60
  4. Step 4: Simplify right side
    466,420.43x = 185,896,840,883.19
  5. Step 5: Solve for x
    x = 185,896,840,883.19/466,420.43
  6. Step 6: Final answer
    x = 398,560.68

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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.