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Finding the Fourth Proportional to 214,032.30, 320,434.05 and 207,888.30

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Solution

The fourth proportional to 214,032.30, 320,434.05 and 207,888.30 is: 311,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,032.30 : 320,434.05 = 207,888.30 : x
  2. Step 2: Convert to fraction form
    214,032.30/320,434.05 = 207,888.30/x
  3. Step 3: Cross multiply
    214,032.30x = 320,434.05 × 207,888.30
  4. Step 4: Simplify right side
    214,032.30x = 66,614,489,916.62
  5. Step 5: Solve for x
    x = 66,614,489,916.62/214,032.30
  6. Step 6: Final answer
    x = 311,235.69

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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.