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Finding the Fourth Proportional to 535,543.10, 739,043.16 and 293,827.76

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Solution

The fourth proportional to 535,543.10, 739,043.16 and 293,827.76 is: 405,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,543.10 : 739,043.16 = 293,827.76 : x
  2. Step 2: Convert to fraction form
    535,543.10/739,043.16 = 293,827.76/x
  3. Step 3: Cross multiply
    535,543.10x = 739,043.16 × 293,827.76
  4. Step 4: Simplify right side
    535,543.10x = 217,151,396,246.12
  5. Step 5: Solve for x
    x = 217,151,396,246.12/535,543.10
  6. Step 6: Final answer
    x = 405,478.84

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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.