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Finding the Fourth Proportional to 586,178.41, 878,808.29 and 231,457.94

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Solution

The fourth proportional to 586,178.41, 878,808.29 and 231,457.94 is: 347,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,178.41 : 878,808.29 = 231,457.94 : x
  2. Step 2: Convert to fraction form
    586,178.41/878,808.29 = 231,457.94/x
  3. Step 3: Cross multiply
    586,178.41x = 878,808.29 × 231,457.94
  4. Step 4: Simplify right side
    586,178.41x = 203,407,158,366.02
  5. Step 5: Solve for x
    x = 203,407,158,366.02/586,178.41
  6. Step 6: Final answer
    x = 347,005.55

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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.