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Finding the Fourth Proportional to 314,093.51, 433,375.76 and 183,250.77

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Solution

The fourth proportional to 314,093.51, 433,375.76 and 183,250.77 is: 252,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,093.51 : 433,375.76 = 183,250.77 : x
  2. Step 2: Convert to fraction form
    314,093.51/433,375.76 = 183,250.77/x
  3. Step 3: Cross multiply
    314,093.51x = 433,375.76 × 183,250.77
  4. Step 4: Simplify right side
    314,093.51x = 79,416,440,803.08
  5. Step 5: Solve for x
    x = 79,416,440,803.08/314,093.51
  6. Step 6: Final answer
    x = 252,843.30

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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.