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Finding the Fourth Proportional to 411,683.50, 568,123.23 and 223,267.50

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Solution

The fourth proportional to 411,683.50, 568,123.23 and 223,267.50 is: 308,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,683.50 : 568,123.23 = 223,267.50 : x
  2. Step 2: Convert to fraction form
    411,683.50/568,123.23 = 223,267.50/x
  3. Step 3: Cross multiply
    411,683.50x = 568,123.23 × 223,267.50
  4. Step 4: Simplify right side
    411,683.50x = 126,843,453,254.03
  5. Step 5: Solve for x
    x = 126,843,453,254.03/411,683.50
  6. Step 6: Final answer
    x = 308,109.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.