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Finding the Fourth Proportional to 577,345.77, 796,704.86 and 319,207.68

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Solution

The fourth proportional to 577,345.77, 796,704.86 and 319,207.68 is: 440,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,345.77 : 796,704.86 = 319,207.68 : x
  2. Step 2: Convert to fraction form
    577,345.77/796,704.86 = 319,207.68/x
  3. Step 3: Cross multiply
    577,345.77x = 796,704.86 × 319,207.68
  4. Step 4: Simplify right side
    577,345.77x = 254,314,310,803.34
  5. Step 5: Solve for x
    x = 254,314,310,803.34/577,345.77
  6. Step 6: Final answer
    x = 440,488.74

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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.