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Finding the Fourth Proportional to 294,082.40, 410,827.60 and 294,082.40

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Solution

The fourth proportional to 294,082.40, 410,827.60 and 294,082.40 is: 410,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,082.40 : 410,827.60 = 294,082.40 : x
  2. Step 2: Convert to fraction form
    294,082.40/410,827.60 = 294,082.40/x
  3. Step 3: Cross multiply
    294,082.40x = 410,827.60 × 294,082.40
  4. Step 4: Simplify right side
    294,082.40x = 120,817,166,594.24
  5. Step 5: Solve for x
    x = 120,817,166,594.24/294,082.40
  6. Step 6: Final answer
    x = 410,827.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.