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Finding the Fourth Proportional to 586,178.11, 878,807.82 and 231,457.64

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Solution

The fourth proportional to 586,178.11, 878,807.82 and 231,457.64 is: 347,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,178.11 : 878,807.82 = 231,457.64 : x
  2. Step 2: Convert to fraction form
    586,178.11/878,807.82 = 231,457.64/x
  3. Step 3: Cross multiply
    586,178.11x = 878,807.82 × 231,457.64
  4. Step 4: Simplify right side
    586,178.11x = 203,406,784,030.75
  5. Step 5: Solve for x
    x = 203,406,784,030.75/586,178.11
  6. Step 6: Final answer
    x = 347,005.09

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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.