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Finding the Fourth Proportional to 384,285.26, 576,426.67 and 103,802.51

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Solution

The fourth proportional to 384,285.26, 576,426.67 and 103,802.51 is: 155,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,285.26 : 576,426.67 = 103,802.51 : x
  2. Step 2: Convert to fraction form
    384,285.26/576,426.67 = 103,802.51/x
  3. Step 3: Cross multiply
    384,285.26x = 576,426.67 × 103,802.51
  4. Step 4: Simplify right side
    384,285.26x = 59,834,535,176.94
  5. Step 5: Solve for x
    x = 59,834,535,176.94/384,285.26
  6. Step 6: Final answer
    x = 155,703.44

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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.