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Finding the Fourth Proportional to 624,903.80, 934,986.45 and 414,951.80

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Solution

The fourth proportional to 624,903.80, 934,986.45 and 414,951.80 is: 620,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,903.80 : 934,986.45 = 414,951.80 : x
  2. Step 2: Convert to fraction form
    624,903.80/934,986.45 = 414,951.80/x
  3. Step 3: Cross multiply
    624,903.80x = 934,986.45 × 414,951.80
  4. Step 4: Simplify right side
    624,903.80x = 387,974,310,403.11
  5. Step 5: Solve for x
    x = 387,974,310,403.11/624,903.80
  6. Step 6: Final answer
    x = 620,854.46

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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.