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Finding the Fourth Proportional to 486,020.40, 729,030.60 and 465,025.20

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Solution

The fourth proportional to 486,020.40, 729,030.60 and 465,025.20 is: 697,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,020.40 : 729,030.60 = 465,025.20 : x
  2. Step 2: Convert to fraction form
    486,020.40/729,030.60 = 465,025.20/x
  3. Step 3: Cross multiply
    486,020.40x = 729,030.60 × 465,025.20
  4. Step 4: Simplify right side
    486,020.40x = 339,017,600,571.12
  5. Step 5: Solve for x
    x = 339,017,600,571.12/486,020.40
  6. Step 6: Final answer
    x = 697,537.80

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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.