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Finding the Fourth Proportional to 677,655.18, 935,007.17 and 405,619.65

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Solution

The fourth proportional to 677,655.18, 935,007.17 and 405,619.65 is: 559,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,655.18 : 935,007.17 = 405,619.65 : x
  2. Step 2: Convert to fraction form
    677,655.18/935,007.17 = 405,619.65/x
  3. Step 3: Cross multiply
    677,655.18x = 935,007.17 × 405,619.65
  4. Step 4: Simplify right side
    677,655.18x = 379,257,279,014.79
  5. Step 5: Solve for x
    x = 379,257,279,014.79/677,655.18
  6. Step 6: Final answer
    x = 559,661.15

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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.