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Finding the Fourth Proportional to 413,527.68, 620,284.32 and 226,437.12

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Solution

The fourth proportional to 413,527.68, 620,284.32 and 226,437.12 is: 339,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,527.68 : 620,284.32 = 226,437.12 : x
  2. Step 2: Convert to fraction form
    413,527.68/620,284.32 = 226,437.12/x
  3. Step 3: Cross multiply
    413,527.68x = 620,284.32 × 226,437.12
  4. Step 4: Simplify right side
    413,527.68x = 140,455,395,001.96
  5. Step 5: Solve for x
    x = 140,455,395,001.96/413,527.68
  6. Step 6: Final answer
    x = 339,651.74

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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.