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Finding the Fourth Proportional to 280,032.40, 420,048.60 and 264,869.20

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Solution

The fourth proportional to 280,032.40, 420,048.60 and 264,869.20 is: 397,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,032.40 : 420,048.60 = 264,869.20 : x
  2. Step 2: Convert to fraction form
    280,032.40/420,048.60 = 264,869.20/x
  3. Step 3: Cross multiply
    280,032.40x = 420,048.60 × 264,869.20
  4. Step 4: Simplify right side
    280,032.40x = 111,257,936,643.12
  5. Step 5: Solve for x
    x = 111,257,936,643.12/280,032.40
  6. Step 6: Final answer
    x = 397,303.80

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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.