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Finding the Fourth Proportional to 402,840.80, 603,742.80 and 308,880.80

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Solution

The fourth proportional to 402,840.80, 603,742.80 and 308,880.80 is: 462,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,840.80 : 603,742.80 = 308,880.80 : x
  2. Step 2: Convert to fraction form
    402,840.80/603,742.80 = 308,880.80/x
  3. Step 3: Cross multiply
    402,840.80x = 603,742.80 × 308,880.80
  4. Step 4: Simplify right side
    402,840.80x = 186,484,559,058.24
  5. Step 5: Solve for x
    x = 186,484,559,058.24/402,840.80
  6. Step 6: Final answer
    x = 462,923.71

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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.