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Finding the Fourth Proportional to 340,345.94, 510,458.76 and 127,066.08

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Solution

The fourth proportional to 340,345.94, 510,458.76 and 127,066.08 is: 190,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,345.94 : 510,458.76 = 127,066.08 : x
  2. Step 2: Convert to fraction form
    340,345.94/510,458.76 = 127,066.08/x
  3. Step 3: Cross multiply
    340,345.94x = 510,458.76 × 127,066.08
  4. Step 4: Simplify right side
    340,345.94x = 64,861,993,634.86
  5. Step 5: Solve for x
    x = 64,861,993,634.86/340,345.94
  6. Step 6: Final answer
    x = 190,576.66

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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.