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Finding the Fourth Proportional to 447,419.10, 617,464.96 and 256,444.86

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Solution

The fourth proportional to 447,419.10, 617,464.96 and 256,444.86 is: 353,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,419.10 : 617,464.96 = 256,444.86 : x
  2. Step 2: Convert to fraction form
    447,419.10/617,464.96 = 256,444.86/x
  3. Step 3: Cross multiply
    447,419.10x = 617,464.96 × 256,444.86
  4. Step 4: Simplify right side
    447,419.10x = 158,345,715,222.11
  5. Step 5: Solve for x
    x = 158,345,715,222.11/447,419.10
  6. Step 6: Final answer
    x = 353,909.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.