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Finding the Fourth Proportional to 446,811.60, 670,217.40 and 257,854.80

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Solution

The fourth proportional to 446,811.60, 670,217.40 and 257,854.80 is: 386,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,811.60 : 670,217.40 = 257,854.80 : x
  2. Step 2: Convert to fraction form
    446,811.60/670,217.40 = 257,854.80/x
  3. Step 3: Cross multiply
    446,811.60x = 670,217.40 × 257,854.80
  4. Step 4: Simplify right side
    446,811.60x = 172,818,773,633.52
  5. Step 5: Solve for x
    x = 172,818,773,633.52/446,811.60
  6. Step 6: Final answer
    x = 386,782.20

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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.