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Finding the Fourth Proportional to 354,893.10, 532,339.65 and 284,909.10

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Solution

The fourth proportional to 354,893.10, 532,339.65 and 284,909.10 is: 427,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,893.10 : 532,339.65 = 284,909.10 : x
  2. Step 2: Convert to fraction form
    354,893.10/532,339.65 = 284,909.10/x
  3. Step 3: Cross multiply
    354,893.10x = 532,339.65 × 284,909.10
  4. Step 4: Simplify right side
    354,893.10x = 151,668,410,575.82
  5. Step 5: Solve for x
    x = 151,668,410,575.82/354,893.10
  6. Step 6: Final answer
    x = 427,363.65

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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.