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Finding the Fourth Proportional to 586,177.61, 878,807.07 and 231,457.14

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Solution

The fourth proportional to 586,177.61, 878,807.07 and 231,457.14 is: 347,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,177.61 : 878,807.07 = 231,457.14 : x
  2. Step 2: Convert to fraction form
    586,177.61/878,807.07 = 231,457.14/x
  3. Step 3: Cross multiply
    586,177.61x = 878,807.07 × 231,457.14
  4. Step 4: Simplify right side
    586,177.61x = 203,406,171,033.98
  5. Step 5: Solve for x
    x = 203,406,171,033.98/586,177.61
  6. Step 6: Final answer
    x = 347,004.34

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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.