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Finding the Fourth Proportional to 430,542.40, 593,824.80 and 260,564.80

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Solution

The fourth proportional to 430,542.40, 593,824.80 and 260,564.80 is: 359,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,542.40 : 593,824.80 = 260,564.80 : x
  2. Step 2: Convert to fraction form
    430,542.40/593,824.80 = 260,564.80/x
  3. Step 3: Cross multiply
    430,542.40x = 593,824.80 × 260,564.80
  4. Step 4: Simplify right side
    430,542.40x = 154,729,840,247.04
  5. Step 5: Solve for x
    x = 154,729,840,247.04/430,542.40
  6. Step 6: Final answer
    x = 359,383.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.