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Finding the Fourth Proportional to 586,178.15, 878,807.87 and 231,457.68

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Solution

The fourth proportional to 586,178.15, 878,807.87 and 231,457.68 is: 347,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,178.15 : 878,807.87 = 231,457.68 : x
  2. Step 2: Convert to fraction form
    586,178.15/878,807.87 = 231,457.68/x
  3. Step 3: Cross multiply
    586,178.15x = 878,807.87 × 231,457.68
  4. Step 4: Simplify right side
    586,178.15x = 203,406,829,598.65
  5. Step 5: Solve for x
    x = 203,406,829,598.65/586,178.15
  6. Step 6: Final answer
    x = 347,005.14

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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.