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Finding the Fourth Proportional to 284,609.60, 426,352.80 and 144,468.80

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Solution

The fourth proportional to 284,609.60, 426,352.80 and 144,468.80 is: 216,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,609.60 : 426,352.80 = 144,468.80 : x
  2. Step 2: Convert to fraction form
    284,609.60/426,352.80 = 144,468.80/x
  3. Step 3: Cross multiply
    284,609.60x = 426,352.80 × 144,468.80
  4. Step 4: Simplify right side
    284,609.60x = 61,594,677,392.64
  5. Step 5: Solve for x
    x = 61,594,677,392.64/284,609.60
  6. Step 6: Final answer
    x = 216,418.13

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1.5x scale

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.