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Finding the Fourth Proportional to 586,280.94, 878,915.21 and 226,703.51

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Solution

The fourth proportional to 586,280.94, 878,915.21 and 226,703.51 is: 339,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,280.94 : 878,915.21 = 226,703.51 : x
  2. Step 2: Convert to fraction form
    586,280.94/878,915.21 = 226,703.51/x
  3. Step 3: Cross multiply
    586,280.94x = 878,915.21 × 226,703.51
  4. Step 4: Simplify right side
    586,280.94x = 199,253,160,867.23
  5. Step 5: Solve for x
    x = 199,253,160,867.23/586,280.94
  6. Step 6: Final answer
    x = 339,859.53

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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.