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Finding the Fourth Proportional to 292,284.10, 438,426.15 and 274,788.10

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Solution

The fourth proportional to 292,284.10, 438,426.15 and 274,788.10 is: 412,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284.10 : 438,426.15 = 274,788.10 : x
  2. Step 2: Convert to fraction form
    292,284.10/438,426.15 = 274,788.10/x
  3. Step 3: Cross multiply
    292,284.10x = 438,426.15 × 274,788.10
  4. Step 4: Simplify right side
    292,284.10x = 120,474,288,748.82
  5. Step 5: Solve for x
    x = 120,474,288,748.82/292,284.10
  6. Step 6: Final answer
    x = 412,182.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.