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Finding the Fourth Proportional to 299,033.60, 411,826.56 and 292,501.76

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Solution

The fourth proportional to 299,033.60, 411,826.56 and 292,501.76 is: 402,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,033.60 : 411,826.56 = 292,501.76 : x
  2. Step 2: Convert to fraction form
    299,033.60/411,826.56 = 292,501.76/x
  3. Step 3: Cross multiply
    299,033.60x = 411,826.56 × 292,501.76
  4. Step 4: Simplify right side
    299,033.60x = 120,459,993,614.75
  5. Step 5: Solve for x
    x = 120,459,993,614.75/299,033.60
  6. Step 6: Final answer
    x = 402,830.96

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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.