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Finding the Fourth Proportional to 379,252.24, 523,341.48 and 209,473

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Solution

The fourth proportional to 379,252.24, 523,341.48 and 209,473 is: 289,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,252.24 : 523,341.48 = 209,473 : x
  2. Step 2: Convert to fraction form
    379,252.24/523,341.48 = 209,473/x
  3. Step 3: Cross multiply
    379,252.24x = 523,341.48 × 209,473
  4. Step 4: Simplify right side
    379,252.24x = 109,625,909,840.04
  5. Step 5: Solve for x
    x = 109,625,909,840.04/379,252.24
  6. Step 6: Final answer
    x = 289,058.04

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