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Finding the Fourth Proportional to 273,442.60, 410,307.91 and 140,322.86

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Solution

The fourth proportional to 273,442.60, 410,307.91 and 140,322.86 is: 210,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,442.60 : 410,307.91 = 140,322.86 : x
  2. Step 2: Convert to fraction form
    273,442.60/410,307.91 = 140,322.86/x
  3. Step 3: Cross multiply
    273,442.60x = 410,307.91 × 140,322.86
  4. Step 4: Simplify right side
    273,442.60x = 57,575,578,710.21
  5. Step 5: Solve for x
    x = 57,575,578,710.21/273,442.60
  6. Step 6: Final answer
    x = 210,558.19

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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.