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Finding the Fourth Proportional to 586,878.07, 809,895.11 and 345,170.83

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Solution

The fourth proportional to 586,878.07, 809,895.11 and 345,170.83 is: 476,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,878.07 : 809,895.11 = 345,170.83 : x
  2. Step 2: Convert to fraction form
    586,878.07/809,895.11 = 345,170.83/x
  3. Step 3: Cross multiply
    586,878.07x = 809,895.11 × 345,170.83
  4. Step 4: Simplify right side
    586,878.07x = 279,552,167,331.64
  5. Step 5: Solve for x
    x = 279,552,167,331.64/586,878.07
  6. Step 6: Final answer
    x = 476,337.73

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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.