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Finding the Fourth Proportional to 543,289.68, 749,659.86 and 301,574.16

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Solution

The fourth proportional to 543,289.68, 749,659.86 and 301,574.16 is: 416,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,289.68 : 749,659.86 = 301,574.16 : x
  2. Step 2: Convert to fraction form
    543,289.68/749,659.86 = 301,574.16/x
  3. Step 3: Cross multiply
    543,289.68x = 749,659.86 × 301,574.16
  4. Step 4: Simplify right side
    543,289.68x = 226,078,042,565.22
  5. Step 5: Solve for x
    x = 226,078,042,565.22/543,289.68
  6. Step 6: Final answer
    x = 416,127.99

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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.