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Finding the Fourth Proportional to 465,216.54, 697,708.16 and 340,327.50

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Solution

The fourth proportional to 465,216.54, 697,708.16 and 340,327.50 is: 510,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,216.54 : 697,708.16 = 340,327.50 : x
  2. Step 2: Convert to fraction form
    465,216.54/697,708.16 = 340,327.50/x
  3. Step 3: Cross multiply
    465,216.54x = 697,708.16 × 340,327.50
  4. Step 4: Simplify right side
    465,216.54x = 237,449,273,822.40
  5. Step 5: Solve for x
    x = 237,449,273,822.40/465,216.54
  6. Step 6: Final answer
    x = 510,405.92

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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.