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Finding the Fourth Proportional to 496,248.30, 684,802.88 and 269,893.98

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Solution

The fourth proportional to 496,248.30, 684,802.88 and 269,893.98 is: 372,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,248.30 : 684,802.88 = 269,893.98 : x
  2. Step 2: Convert to fraction form
    496,248.30/684,802.88 = 269,893.98/x
  3. Step 3: Cross multiply
    496,248.30x = 684,802.88 × 269,893.98
  4. Step 4: Simplify right side
    496,248.30x = 184,824,174,798.66
  5. Step 5: Solve for x
    x = 184,824,174,798.66/496,248.30
  6. Step 6: Final answer
    x = 372,442.94

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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.