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Finding the Fourth Proportional to 402,495.80, 603,225.30 and 308,535.80

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Solution

The fourth proportional to 402,495.80, 603,225.30 and 308,535.80 is: 462,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,495.80 : 603,225.30 = 308,535.80 : x
  2. Step 2: Convert to fraction form
    402,495.80/603,225.30 = 308,535.80/x
  3. Step 3: Cross multiply
    402,495.80x = 603,225.30 × 308,535.80
  4. Step 4: Simplify right side
    402,495.80x = 186,116,600,515.74
  5. Step 5: Solve for x
    x = 186,116,600,515.74/402,495.80
  6. Step 6: Final answer
    x = 462,406.32

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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.