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Finding the Fourth Proportional to 379,412.51, 523,410.26 and 226,363.14

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Solution

The fourth proportional to 379,412.51, 523,410.26 and 226,363.14 is: 312,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,412.51 : 523,410.26 = 226,363.14 : x
  2. Step 2: Convert to fraction form
    379,412.51/523,410.26 = 226,363.14/x
  3. Step 3: Cross multiply
    379,412.51x = 523,410.26 × 226,363.14
  4. Step 4: Simplify right side
    379,412.51x = 118,480,788,830.00
  5. Step 5: Solve for x
    x = 118,480,788,830.00/379,412.51
  6. Step 6: Final answer
    x = 312,274.34

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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.