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Finding the Fourth Proportional to 461,776.50, 692,194.50 and 293,421.24

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Solution

The fourth proportional to 461,776.50, 692,194.50 and 293,421.24 is: 439,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,776.50 : 692,194.50 = 293,421.24 : x
  2. Step 2: Convert to fraction form
    461,776.50/692,194.50 = 293,421.24/x
  3. Step 3: Cross multiply
    461,776.50x = 692,194.50 × 293,421.24
  4. Step 4: Simplify right side
    461,776.50x = 203,104,568,511.18
  5. Step 5: Solve for x
    x = 203,104,568,511.18/461,776.50
  6. Step 6: Final answer
    x = 439,833.05

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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.