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Finding the Fourth Proportional to 314,349.48, 433,858.50 and 201,168.36

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Solution

The fourth proportional to 314,349.48, 433,858.50 and 201,168.36 is: 277,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,349.48 : 433,858.50 = 201,168.36 : x
  2. Step 2: Convert to fraction form
    314,349.48/433,858.50 = 201,168.36/x
  3. Step 3: Cross multiply
    314,349.48x = 433,858.50 × 201,168.36
  4. Step 4: Simplify right side
    314,349.48x = 87,278,602,917.06
  5. Step 5: Solve for x
    x = 87,278,602,917.06/314,349.48
  6. Step 6: Final answer
    x = 277,648.31

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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.