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Finding the Fourth Proportional to 320,423.45, 442,276.40 and 211,607.24

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Solution

The fourth proportional to 320,423.45, 442,276.40 and 211,607.24 is: 292,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,423.45 : 442,276.40 = 211,607.24 : x
  2. Step 2: Convert to fraction form
    320,423.45/442,276.40 = 211,607.24/x
  3. Step 3: Cross multiply
    320,423.45x = 442,276.40 × 211,607.24
  4. Step 4: Simplify right side
    320,423.45x = 93,588,886,638.77
  5. Step 5: Solve for x
    x = 93,588,886,638.77/320,423.45
  6. Step 6: Final answer
    x = 292,078.77

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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.