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Finding the Fourth Proportional to 385,187.91, 531,574.98 and 213,102.90

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Solution

The fourth proportional to 385,187.91, 531,574.98 and 213,102.90 is: 294,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,187.91 : 531,574.98 = 213,102.90 : x
  2. Step 2: Convert to fraction form
    385,187.91/531,574.98 = 213,102.90/x
  3. Step 3: Cross multiply
    385,187.91x = 531,574.98 × 213,102.90
  4. Step 4: Simplify right side
    385,187.91x = 113,280,169,805.44
  5. Step 5: Solve for x
    x = 113,280,169,805.44/385,187.91
  6. Step 6: Final answer
    x = 294,090.67

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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.