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Finding the Fourth Proportional to 501,909.12, 692,588.52 and 297,925.20

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Solution

The fourth proportional to 501,909.12, 692,588.52 and 297,925.20 is: 411,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,909.12 : 692,588.52 = 297,925.20 : x
  2. Step 2: Convert to fraction form
    501,909.12/692,588.52 = 297,925.20/x
  3. Step 3: Cross multiply
    501,909.12x = 692,588.52 × 297,925.20
  4. Step 4: Simplify right side
    501,909.12x = 206,339,573,338.70
  5. Step 5: Solve for x
    x = 206,339,573,338.70/501,909.12
  6. Step 6: Final answer
    x = 411,109.43

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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.