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Finding the Fourth Proportional to 345,200.31, 476,523.86 and 232,088.67

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Solution

The fourth proportional to 345,200.31, 476,523.86 and 232,088.67 is: 320,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,200.31 : 476,523.86 = 232,088.67 : x
  2. Step 2: Convert to fraction form
    345,200.31/476,523.86 = 232,088.67/x
  3. Step 3: Cross multiply
    345,200.31x = 476,523.86 × 232,088.67
  4. Step 4: Simplify right side
    345,200.31x = 110,595,787,730.22
  5. Step 5: Solve for x
    x = 110,595,787,730.22/345,200.31
  6. Step 6: Final answer
    x = 320,381.48

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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.