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Finding the Fourth Proportional to 501,643.25, 692,265.61 and 297,861.93

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Solution

The fourth proportional to 501,643.25, 692,265.61 and 297,861.93 is: 411,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,643.25 : 692,265.61 = 297,861.93 : x
  2. Step 2: Convert to fraction form
    501,643.25/692,265.61 = 297,861.93/x
  3. Step 3: Cross multiply
    501,643.25x = 692,265.61 × 297,861.93
  4. Step 4: Simplify right side
    501,643.25x = 206,199,567,205.90
  5. Step 5: Solve for x
    x = 206,199,567,205.90/501,643.25
  6. Step 6: Final answer
    x = 411,048.22

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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.