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Finding the Fourth Proportional to 277,407.08, 415,742.74 and 142,465.70

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Solution

The fourth proportional to 277,407.08, 415,742.74 and 142,465.70 is: 213,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,407.08 : 415,742.74 = 142,465.70 : x
  2. Step 2: Convert to fraction form
    277,407.08/415,742.74 = 142,465.70/x
  3. Step 3: Cross multiply
    277,407.08x = 415,742.74 × 142,465.70
  4. Step 4: Simplify right side
    277,407.08x = 59,229,080,474.02
  5. Step 5: Solve for x
    x = 59,229,080,474.02/277,407.08
  6. Step 6: Final answer
    x = 213,509.62

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