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Finding the Fourth Proportional to 501,834.70, 692,513.96 and 284,038.69

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Solution

The fourth proportional to 501,834.70, 692,513.96 and 284,038.69 is: 391,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,834.70 : 692,513.96 = 284,038.69 : x
  2. Step 2: Convert to fraction form
    501,834.70/692,513.96 = 284,038.69/x
  3. Step 3: Cross multiply
    501,834.70x = 692,513.96 × 284,038.69
  4. Step 4: Simplify right side
    501,834.70x = 196,700,759,560.56
  5. Step 5: Solve for x
    x = 196,700,759,560.56/501,834.70
  6. Step 6: Final answer
    x = 391,963.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.